105380558100776 has 32 divisors (see below), whose sum is σ = 225816352856640. Its totient is φ = 45162922086528.

The previous prime is 105380558100749. The next prime is 105380558100817. The reversal of 105380558100776 is 677001855083501.

It is a super-2 number, since 2×105380558100776² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11578451 + ... + 18569373.

It is an arithmetic number, because the mean of its divisors is an integer number (7056761026770).

Almost surely, 2^{105380558100776} is an apocalyptic number.

It is an amenable number.

105380558100776 is an abundant number, since it is smaller than the sum of its proper divisors (120435794755864).

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

105380558100776 is a wasteful number, since it uses less digits than its factorization.

105380558100776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260113 (or 7260109 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 56.

The spelling of 105380558100776 in words is "one hundred five trillion, three hundred eighty billion, five hundred fifty-eight million, one hundred thousand, seven hundred seventy-six".