100095588400 has 120 divisors (see below), whose sum is σ = 242048976624. Its totient is φ = 39777792000.

The previous prime is 100095588347. The next prime is 100095588403. The reversal of 100095588400 is 4885590001.

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

It is not an unprimeable number, because it can be changed into a prime (100095588403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56012307 + ... + 56014093.

Almost surely, 2^100095588400 is an apocalyptic number.

100095588400 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 100095588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121024488312).

100095588400 is an abundant number, since it is smaller than the sum of its proper divisors (141953388224).

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

100095588400 is a wasteful number, since it uses less digits than its factorization.

100095588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 100095588400 in words is "one hundred billion, ninety-five million, five hundred eighty-eight thousand, four hundred".