100642626612 has 144 divisors (see below), whose sum is σ = 292477086720. Its totient is φ = 28858939200.

The previous prime is 100642626587. The next prime is 100642626647. The reversal of 100642626612 is 216626246001.

100642626612 is a `hidden beast` number, since 1 + 0 + 0 + 642 + 6 + 2 + 6 + 6 + 1 + 2 = 666.

100642626612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6847023 + ... + 6861705.

It is an arithmetic number, because the mean of its divisors is an integer number (2031090880).

Almost surely, 2^100642626612 is an apocalyptic number.

100642626612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100642626612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146238543360).

100642626612 is an abundant number, since it is smaller than the sum of its proper divisors (191834460108).

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

100642626612 is a wasteful number, since it uses less digits than its factorization.

100642626612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 100642626612 in words is "one hundred billion, six hundred forty-two million, six hundred twenty-six thousand, six hundred twelve".