105956487864 has 48 divisors (see below), whose sum is σ = 302068938600. Its totient is φ = 33459943104.

The previous prime is 105956487811. The next prime is 105956487869. The reversal of 105956487864 is 468784659501.

105956487864 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 564 + 8 + 7 + 8 + 64 = 666.

It is a super-2 number, since 2×105956487864² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105956487869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38725419 + ... + 38728154.

Almost surely, 2^105956487864 is an apocalyptic number.

It is an amenable number.

105956487864 is an abundant number, since it is smaller than the sum of its proper divisors (196112450736).

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

105956487864 is a wasteful number, since it uses less digits than its factorization.

105956487864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77453604 (or 77453597 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 105956487864 in words is "one hundred five billion, nine hundred fifty-six million, four hundred eighty-seven thousand, eight hundred sixty-four".