105616314409572 has 36 divisors (see below), whose sum is σ = 267027935887440. Its totient is φ = 35198401210992.

The previous prime is 105616314409453. The next prime is 105616314409631. The reversal of 105616314409572 is 275904413616501.

105616314409572 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 63 + 1 + 4 + 4 + 0 + 9 + 572 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105616314409572² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293022622 + ... + 293382837.

It is an arithmetic number, because the mean of its divisors is an integer number (7417442663540).

Almost surely, 2^{105616314409572} is an apocalyptic number.

105616314409572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105616314409572 is an abundant number, since it is smaller than the sum of its proper divisors (161411621477868).

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

105616314409572 is a wasteful number, since it uses less digits than its factorization.

105616314409572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586410472 (or 586410467 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 105616314409572 in words is "one hundred five trillion, six hundred sixteen billion, three hundred fourteen million, four hundred nine thousand, five hundred seventy-two".