105136090668 has 120 divisors (see below), whose sum is σ = 322600020512. Its totient is φ = 29226998016.

The previous prime is 105136090603. The next prime is 105136090757. The reversal of 105136090668 is 866090631501.

105136090668 is a `hidden beast` number, since 10 + 513 + 60 + 9 + 0 + 6 + 68 = 666.

It is a super-2 number, since 2×105136090668² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 542521 + ... + 710352.

Almost surely, 2^105136090668 is an apocalyptic number.

105136090668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105136090668 is an abundant number, since it is smaller than the sum of its proper divisors (217463929844).

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

105136090668 is a wasteful number, since it uses less digits than its factorization.

105136090668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252933 (or 1252922 counting only the distinct ones).

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

The spelling of 105136090668 in words is "one hundred five billion, one hundred thirty-six million, ninety thousand, six hundred sixty-eight".