105657011160 has 64 divisors (see below), whose sum is σ = 317016910080. Its totient is φ = 28171125120.

The previous prime is 105657011153. The next prime is 105657011183. The reversal of 105657011160 is 61110756501.

It is a super-2 number, since 2×105657011160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819669 + ... + 939771.

It is an arithmetic number, because the mean of its divisors is an integer number (4953389220).

Almost surely, 2^105657011160 is an apocalyptic number.

105657011160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105657011160 is an abundant number, since it is smaller than the sum of its proper divisors (211359898920).

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

105657011160 is a wasteful number, since it uses less digits than its factorization.

105657011160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127448 (or 127444 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

Adding to 105657011160 its reverse (61110756501), we get a palindrome (166767767661).

The spelling of 105657011160 in words is "one hundred five billion, six hundred fifty-seven million, eleven thousand, one hundred sixty".