105105638664 has 96 divisors (see below), whose sum is σ = 316146261600. Its totient is φ = 32340185280.

The previous prime is 105105638657. The next prime is 105105638689. The reversal of 105105638664 is 466836501501.

105105638664 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 5 + 638 + 6 + 6 + 4 = 666.

105105638664 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 2×105105638664² (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 23 ways as a sum of consecutive naturals, for example, 1403142 + ... + 1476149.

It is an arithmetic number, because the mean of its divisors is an integer number (3293190225).

Almost surely, 2^105105638664 is an apocalyptic number.

It is an amenable number.

105105638664 is an abundant number, since it is smaller than the sum of its proper divisors (211040622936).

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

105105638664 is a wasteful number, since it uses less digits than its factorization.

105105638664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879332 (or 2879309 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 105105638664 in words is "one hundred five billion, one hundred five million, six hundred thirty-eight thousand, six hundred sixty-four".