100640136564 has 144 divisors (see below), whose sum is σ = 278984946240. Its totient is φ = 30336837120.

The previous prime is 100640136563. The next prime is 100640136601. The reversal of 100640136564 is 465631046001.

It is a happy number.

100640136564 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 0 + 1 + 36 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100640136563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97424592 + ... + 97425624.

It is an arithmetic number, because the mean of its divisors is an integer number (1937395460).

Almost surely, 2^100640136564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100640136564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139492473120).

100640136564 is an abundant number, since it is smaller than the sum of its proper divisors (178344809676).

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

100640136564 is a wasteful number, since it uses less digits than its factorization.

100640136564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100640136564 in words is "one hundred billion, six hundred forty million, one hundred thirty-six thousand, five hundred sixty-four".