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105125043023 = 71113377693691
BaseRepresentation
bin110000111100111110…
…0001101101101001111
3101001100100022111120222
41201321330031231033
53210244002334043
6120143242301555
710411045056620
oct1417174155517
9331310274528
10105125043023
1140646389850
121845a1b78bb
139bb453c790
145133991a47
152b04140d68
hex1879f0db4f

105125043023 has 64 divisors (see below), whose sum is σ = 145189524480. Its totient is φ = 73455206400.

The previous prime is 105125043011. The next prime is 105125043029. The reversal of 105125043023 is 320340521501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105125043023 - 228 = 104856607567 is a prime.

It is a super-2 number, since 2×1051250430232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105125042983 and 105125043001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105125043029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28479608 + ... + 28483298.

It is an arithmetic number, because the mean of its divisors is an integer number (2268586320).

Almost surely, 2105125043023 is an apocalyptic number.

105125043023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105125043023 is a deficient number, since it is larger than the sum of its proper divisors (40064481457).

105125043023 is a wasteful number, since it uses less digits than its factorization.

105125043023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 105125043023 its reverse (320340521501), we get a palindrome (425465564524).

The spelling of 105125043023 in words is "one hundred five billion, one hundred twenty-five million, forty-three thousand, twenty-three".

Divisors: 1 7 11 13 37 77 91 143 259 407 481 769 1001 2849 3367 3691 5291 5383 8459 9997 25837 28453 37037 40601 47983 59213 69979 109967 136567 199171 284207 312983 335881 369889 527813 769769 955969 1502237 1775371 2190881 2589223 2838379 3694691 4068779 10515659 12427597 19529081 19868653 28481453 31222169 36898927 105020023 136703567 218555183 258292489 405888197 735140161 1155220253 1365260299 2841217379 8086541771 9556822093 15017863289 105125043023