100095240 has 192 divisors, whose sum is σ = 361972800. Its totient is φ = 22052352.

The previous prime is 100095197. The next prime is 100095251. The reversal of 100095240 is 42590001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170227 + ... + 170813.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^100095240 is an apocalyptic number.

100095240 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 100095240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

100095240 is an abundant number, since it is smaller than the sum of its proper divisors (261877560).

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

100095240 is a wasteful number, since it uses less digits than its factorization.

100095240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100095240 is about 10004.7608667074. The cubic root of 100095240 is about 464.3061915792.

The spelling of 100095240 in words is "one hundred million, ninety-five thousand, two hundred forty".