105457424660 has 72 divisors (see below), whose sum is σ = 268818238080. Its totient is φ = 34584787776.

The previous prime is 105457424641. The next prime is 105457424693. The reversal of 105457424660 is 66424754501.

105457424660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105457424660² (a number of 23 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 23 ways as a sum of consecutive naturals, for example, 2316800 + ... + 2361879.

It is an arithmetic number, because the mean of its divisors is an integer number (3733586640).

Almost surely, 2^105457424660 is an apocalyptic number.

105457424660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105457424660 is an abundant number, since it is smaller than the sum of its proper divisors (163360813420).

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

105457424660 is a wasteful number, since it uses less digits than its factorization.

105457424660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678725 (or 4678716 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 105457424660 in words is "one hundred five billion, four hundred fifty-seven million, four hundred twenty-four thousand, six hundred sixty".