105789480057 has 32 divisors (see below), whose sum is σ = 158537702400. Its totient is φ = 69714038016.

The previous prime is 105789480029. The next prime is 105789480059. The reversal of 105789480057 is 750084987501.

105789480057 is a `hidden beast` number, since 10 + 578 + 9 + 4 + 8 + 0 + 0 + 57 = 666.

It is not a de Polignac number, because 105789480057 - 2²⁶ = 105722371193 is a prime.

It is a super-2 number, since 2×105789480057² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105789479985 and 105789480012.

It is not an unprimeable number, because it can be changed into a prime (105789480059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091544 + ... + 1184502.

It is an arithmetic number, because the mean of its divisors is an integer number (4954303200).

Almost surely, 2^105789480057 is an apocalyptic number.

It is an amenable number.

105789480057 is a deficient number, since it is larger than the sum of its proper divisors (52748222343).

105789480057 is a wasteful number, since it uses less digits than its factorization.

105789480057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93454 (or 93448 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 105789480057 in words is "one hundred five billion, seven hundred eighty-nine million, four hundred eighty thousand, fifty-seven".