105457424661 has 16 divisors (see below), whose sum is σ = 156238225920. Its totient is φ = 70302697920.

The previous prime is 105457424641. The next prime is 105457424693. The reversal of 105457424661 is 166424754501.

105457424661 is a `hidden beast` number, since 1 + 0 + 54 + 574 + 24 + 6 + 6 + 1 = 666.

It is not a de Polignac number, because 105457424661 - 2⁷ = 105457424533 is a prime.

It is a super-2 number, since 2×105457424661² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105457424641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585276 + ... + 1650458.

It is an arithmetic number, because the mean of its divisors is an integer number (9764889120).

Almost surely, 2^105457424661 is an apocalyptic number.

It is an amenable number.

105457424661 is a deficient number, since it is larger than the sum of its proper divisors (50780801259).

105457424661 is an equidigital number, since it uses as much as digits as its factorization.

105457424661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125113 (or 125107 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 105457424661 in words is "one hundred five billion, four hundred fifty-seven million, four hundred twenty-four thousand, six hundred sixty-one".