105311632968 has 24 divisors (see below), whose sum is σ = 285219006150. Its totient is φ = 35103877632.

The previous prime is 105311632891. The next prime is 105311632969. The reversal of 105311632968 is 869236113501.

105311632968 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 1 + 632 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83300349924 + 22011283044 = 288618^2 + 148362^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105311632968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105311632969) 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, 731330713 + ... + 731330856.

Almost surely, 2^105311632968 is an apocalyptic number.

105311632968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105311632968 is an abundant number, since it is smaller than the sum of its proper divisors (179907373182).

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

105311632968 is a wasteful number, since it uses less digits than its factorization.

105311632968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462661581 (or 1462661574 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 105311632968 in words is "one hundred five billion, three hundred eleven million, six hundred thirty-two thousand, nine hundred sixty-eight".