105505405306564 has 24 divisors (see below), whose sum is σ = 192667291584768. Its totient is φ = 50457732642240.

The previous prime is 105505405306523. The next prime is 105505405306579. The reversal of 105505405306564 is 465603504505501.

It is a happy number.

It is a super-2 number, since 2×105505405306564² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12216012 + ... + 18980035.

It is an arithmetic number, because the mean of its divisors is an integer number (8027803816032).

Almost surely, 2^{105505405306564} is an apocalyptic number.

It is an amenable number.

105505405306564 is a deficient number, since it is larger than the sum of its proper divisors (87161886278204).

105505405306564 is a wasteful number, since it uses less digits than its factorization.

105505405306564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31232835 (or 31232833 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 49.

The spelling of 105505405306564 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, five hundred sixty-four".