105331205664 has 36 divisors (see below), whose sum is σ = 299535616926. Its totient is φ = 35110401792.

The previous prime is 105331205663. The next prime is 105331205669. The reversal of 105331205664 is 466502133501.

105331205664 is a `hidden beast` number, since 1 + 0 + 533 + 12 + 0 + 56 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82978563600 + 22352642064 = 288060^2 + 149508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105331205664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105331205663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182866389 + ... + 182866964.

Almost surely, 2^105331205664 is an apocalyptic number.

It is an amenable number.

105331205664 is an abundant number, since it is smaller than the sum of its proper divisors (194204411262).

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

105331205664 is a wasteful number, since it uses less digits than its factorization.

105331205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365733369 (or 365733358 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105331205664 in words is "one hundred five billion, three hundred thirty-one million, two hundred five thousand, six hundred sixty-four".