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105105070066556 = 2274618779284641
BaseRepresentation
bin10111111001011110101110…
…010111011000101101111100
3111210010221120001022001202102
4113321132232113120231330
5102234020140414112211
61011312334055244232
731065406421552150
oct2771365627305574
9453127501261672
10105105070066556
113054289aa7288a
12b956097379678
13468549a23b411
141bd5180b19060
15c240563c2a3b
hex5f97ae5d8b7c

105105070066556 has 48 divisors (see below), whose sum is σ = 210906362369472. Its totient is φ = 44896062412800.

The previous prime is 105105070066519. The next prime is 105105070066567. The reversal of 105105070066556 is 655660070501501.

It is a super-2 number, since 2×1051050700665562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105105070066556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6677996 + ... + 15962636.

It is an arithmetic number, because the mean of its divisors is an integer number (4393882549364).

Almost surely, 2105105070066556 is an apocalyptic number.

It is an amenable number.

105105070066556 is an abundant number, since it is smaller than the sum of its proper divisors (105801292302916).

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

105105070066556 is a wasteful number, since it uses less digits than its factorization.

105105070066556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285990 (or 9285988 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 47.

The spelling of 105105070066556 in words is "one hundred five trillion, one hundred five billion, seventy million, sixty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 461 877 922 1754 1844 3227 3508 6139 6454 12278 12908 24556 404297 808594 1617188 2830079 5660158 9284641 11320316 18569282 37138564 64992487 129984974 259969948 4280219501 8142630157 8560439002 16285260314 17120878004 29961536507 32570520628 56998411099 59923073014 113996822198 119846146028 227993644396 3753752502377 7507505004754 15015010009508 26276267516639 52552535033278 105105070066556