100628345920 has 112 divisors (see below), whose sum is σ = 241416230400. Its totient is φ = 39950862336.

The previous prime is 100628345897. The next prime is 100628345933. The reversal of 100628345920 is 29543826001.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 29482134 + ... + 29485546.

Almost surely, 2^100628345920 is an apocalyptic number.

100628345920 is a gapful number since it is divisible by the number (10) 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 100628345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120708115200).

100628345920 is an abundant number, since it is smaller than the sum of its proper divisors (140787884480).

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

100628345920 is a wasteful number, since it uses less digits than its factorization.

100628345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 100628345920 in words is "one hundred billion, six hundred twenty-eight million, three hundred forty-five thousand, nine hundred twenty".