105355662564 has 48 divisors (see below), whose sum is σ = 250177536000. Its totient is φ = 34498322976.

The previous prime is 105355662557. The next prime is 105355662583. The reversal of 105355662564 is 465266553501.

It is a super-2 number, since 2×105355662564² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937309 + ... + 1043675.

It is an arithmetic number, because the mean of its divisors is an integer number (5212032000).

Almost surely, 2^105355662564 is an apocalyptic number.

It is an amenable number.

105355662564 is an abundant number, since it is smaller than the sum of its proper divisors (144821873436).

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

105355662564 is a wasteful number, since it uses less digits than its factorization.

105355662564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107832 (or 107830 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 105355662564 in words is "one hundred five billion, three hundred fifty-five million, six hundred sixty-two thousand, five hundred sixty-four".