100707628120 has 128 divisors (see below), whose sum is σ = 262190649600. Its totient is φ = 34428326400.

The previous prime is 100707628097. The next prime is 100707628163. The reversal of 100707628120 is 21826707001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049182 + ... + 1141138.

It is an arithmetic number, because the mean of its divisors is an integer number (2048364450).

Almost surely, 2^100707628120 is an apocalyptic number.

100707628120 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 100707628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131095324800).

100707628120 is an abundant number, since it is smaller than the sum of its proper divisors (161483021480).

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

100707628120 is a wasteful number, since it uses less digits than its factorization.

100707628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92129 (or 92125 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

It can be divided in two parts, 100707 and 628120, that added together give a palindrome (728827).

The spelling of 100707628120 in words is "one hundred billion, seven hundred seven million, six hundred twenty-eight thousand, one hundred twenty".