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105051060540 = 22335792462519
BaseRepresentation
bin110000111010110000…
…1111111100100111100
3101001011012002210201000
41201311201333210330
53210121032414130
6120132040450300
710406156165346
oct1416541774474
9331135083630
10105051060540
11406086486a8
1218439479990
139ba210836a
145127c14296
152aec8ca260
hex187587f93c

105051060540 has 96 divisors (see below), whose sum is σ = 330962688000. Its totient is φ = 27659002176.

The previous prime is 105051060523. The next prime is 105051060551. The reversal of 105051060540 is 45060150501.

It is a happy number.

105051060540 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 10 + 605 + 40 = 666.

It is a super-2 number, since 2×1050510605402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188600 + ... + 1273919.

It is an arithmetic number, because the mean of its divisors is an integer number (3447528000).

Almost surely, 2105051060540 is an apocalyptic number.

105051060540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105051060540 is an abundant number, since it is smaller than the sum of its proper divisors (225911627460).

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

105051060540 is a wasteful number, since it uses less digits than its factorization.

105051060540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462616 (or 2462608 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 105051060540 in words is "one hundred five billion, fifty-one million, sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 2462519 4925038 7387557 9850076 12312595 14775114 22162671 24625190 29550228 36937785 44325342 49250380 66488013 73875570 88650684 110813355 132976026 147751140 194539001 221626710 265952052 332440065 389078002 443253420 583617003 664880130 778156004 972695005 1167234006 1329760260 1750851009 1945390010 2334468012 2918085015 3501702018 3890780020 5252553027 5836170030 7003404036 8754255045 10505106054 11672340060 17508510090 21010212108 26262765135 35017020180 52525530270 105051060540