100870128252 has 96 divisors (see below), whose sum is σ = 277032752640. Its totient is φ = 31630176000.

The previous prime is 100870128221. The next prime is 100870128259. The reversal of 100870128252 is 252821078001.

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 (100870128259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120633 + ... + 4145039.

It is an arithmetic number, because the mean of its divisors is an integer number (2885757840).

Almost surely, 2^100870128252 is an apocalyptic number.

100870128252 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 100870128252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138516376320).

100870128252 is an abundant number, since it is smaller than the sum of its proper divisors (176162624388).

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

100870128252 is a wasteful number, since it uses less digits than its factorization.

100870128252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26688 (or 26680 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 100870128252 in words is "one hundred billion, eight hundred seventy million, one hundred twenty-eight thousand, two hundred fifty-two".