107136701136 has 80 divisors (see below), whose sum is σ = 323707406400. Its totient is φ = 33832639872.

The previous prime is 107136701131. The next prime is 107136701171. The reversal of 107136701136 is 631107631701.

It is a happy number.

107136701136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107136701136² (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 a self number, because there is not a number n which added to its sum of digits gives 107136701136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107136701131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6518151 + ... + 6534566.

It is an arithmetic number, because the mean of its divisors is an integer number (4046342580).

Almost surely, 2^107136701136 is an apocalyptic number.

107136701136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107136701136 is an abundant number, since it is smaller than the sum of its proper divisors (216570705264).

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

107136701136 is a wasteful number, since it uses less digits than its factorization.

107136701136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052753 (or 13052741 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 107136701136 in words is "one hundred seven billion, one hundred thirty-six million, seven hundred one thousand, one hundred thirty-six".