105005647136 has 48 divisors (see below), whose sum is σ = 230309163000. Its totient is φ = 46792962048.

The previous prime is 105005647127. The next prime is 105005647181. The reversal of 105005647136 is 631746500501.

It can be written as a sum of positive squares in 4 ways, for example, as 42335531536 + 62670115600 = 205756^2 + 250340^2 .

It is a super-2 number, since 2×105005647136² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005647136.

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, 4339961 + ... + 4364088.

Almost surely, 2^105005647136 is an apocalyptic number.

105005647136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105005647136 is an abundant number, since it is smaller than the sum of its proper divisors (125303515864).

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

105005647136 is a wasteful number, since it uses less digits than its factorization.

105005647136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704101 (or 8704093 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 105005647136 in words is "one hundred five billion, five million, six hundred forty-seven thousand, one hundred thirty-six".