105764054006460 has 96 divisors (see below), whose sum is σ = 296332522758720. Its totient is φ = 28185352593408.

The previous prime is 105764054006371. The next prime is 105764054006497. The reversal of 105764054006460 is 64600450467501.

It is a super-2 number, since 2×105764054006460² (a number of 29 digits) contains 22 as substring.

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, 2760219222 + ... + 2760257538.

It is an arithmetic number, because the mean of its divisors is an integer number (3086797112070).

Almost surely, 2^{105764054006460} is an apocalyptic number.

105764054006460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105764054006460 is an abundant number, since it is smaller than the sum of its proper divisors (190568468752260).

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

105764054006460 is a wasteful number, since it uses less digits than its factorization.

105764054006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67135 (or 67133 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 105764054006460 in words is "one hundred five trillion, seven hundred sixty-four billion, fifty-four million, six thousand, four hundred sixty".