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105130747237425 = 352721315193144839
BaseRepresentation
bin10111111001110110101000…
…110110000001010000110001
3111210020101211112102111100220
4113321312220312001100301
5102234430232243044200
61011332222030203253
731100305631113500
oct2771665066012061
9453211745374326
10105130747237425
1130552777076358
12b95b062653529
134687a2cb4cc50
141bd64d8db6837
15c24a5a7584a0
hex5f9da8d81431

105130747237425 has 144 divisors (see below), whose sum is σ = 217763563489920. Its totient is φ = 44359638543360.

The previous prime is 105130747237421. The next prime is 105130747237441. The reversal of 105130747237425 is 524732747031501.

It is not a de Polignac number, because 105130747237425 - 22 = 105130747237421 is a prime.

It is a super-2 number, since 2×1051307472374252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105130747237421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 725773156 + ... + 725917994.

It is an arithmetic number, because the mean of its divisors is an integer number (1512246968680).

Almost surely, 2105130747237425 is an apocalyptic number.

105130747237425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105130747237425 is an abundant number, since it is smaller than the sum of its proper divisors (112632816252495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105130747237425 is a wasteful number, since it uses less digits than its factorization.

105130747237425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160072 (or 160060 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 105130747237425 in words is "one hundred five trillion, one hundred thirty billion, seven hundred forty-seven million, two hundred thirty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 975 1225 1365 1911 2275 3185 3675 6825 9555 15193 15925 45579 47775 75965 106351 144839 197509 227895 319053 379825 434517 531755 592527 724195 744457 987545 1013873 1139475 1382563 1595265 1882907 2172585 2233371 2658775 2962635 3041619 3620975 3722285 4147689 4937725 5069365 5648721 6912815 7097111 7976325 9414535 9677941 10862925 11166855 13180349 14813175 15208095 18611425 20738445 21291333 25346825 28243605 29033823 34564075 35485555 39541047 47072675 48389705 55834275 65901745 76040475 92262443 103692225 106456665 141218025 145169115 177427775 197705235 241948525 276787329 329508725 461312215 532283325 725845575 988526175 1383936645 2200538927 2306561075 6601616781 6919683225 11002694635 15403772489 28607006051 33008083905 46211317467 55013473175 77018862445 85821018153 107826407423 143035030255 165040419525 200249042357 231056587335 323479222269 385094312225 429105090765 539132037115 600747127071 715175151275 1001245211785 1155282936675 1401743296499 1617396111345 2145525453825 2695660185575 3003735635355 4205229889497 5006226058925 7008716482495 8086980556725 15018678176775 21026149447485 35043582412475 105130747237425