105579094967756 has 12 divisors (see below), whose sum is σ = 191134568476320. Its totient is φ = 50969218260240.

The previous prime is 105579094967657. The next prime is 105579094967761. The reversal of 105579094967756 is 657769490975501.

It is a super-2 number, since 2×105579094967756² (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 3 ways as a sum of consecutive naturals, for example, 455082305780 + ... + 455082306011.

It is an arithmetic number, because the mean of its divisors is an integer number (15927880706360).

Almost surely, 2^{105579094967756} is an apocalyptic number.

It is an amenable number.

105579094967756 is a deficient number, since it is larger than the sum of its proper divisors (85555473508564).

105579094967756 is a wasteful number, since it uses less digits than its factorization.

105579094967756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910164611824 (or 910164611822 counting only the distinct ones).

The product of its (nonzero) digits is 4500846000, while the sum is 80.

The spelling of 105579094967756 in words is "one hundred five trillion, five hundred seventy-nine billion, ninety-four million, nine hundred sixty-seven thousand, seven hundred fifty-six".