100025891280 has 480 divisors, whose sum is σ = 401824281600. Its totient is φ = 22803766272.

The previous prime is 100025891221. The next prime is 100025891293. The reversal of 100025891280 is 82198520001.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50696374 + ... + 50698346.

It is an arithmetic number, because the mean of its divisors is an integer number (837133920).

Almost surely, 2^100025891280 is an apocalyptic number.

100025891280 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 100025891280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200912140800).

100025891280 is an abundant number, since it is smaller than the sum of its proper divisors (301798390320).

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

100025891280 is a wasteful number, since it uses less digits than its factorization.

100025891280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 100025891280 in words is "one hundred billion, twenty-five million, eight hundred ninety-one thousand, two hundred eighty".