100095408 has 120 divisors (see below), whose sum is σ = 322400000. Its totient is φ = 28397952.

The previous prime is 100095377. The next prime is 100095409. The reversal of 100095408 is 804590001.

It is not an unprimeable number, because it can be changed into a prime (100095409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200343 + ... + 200841.

Almost surely, 2^100095408 is an apocalyptic number.

100095408 is a gapful number since it is divisible by the number (18) 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 100095408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161200000).

100095408 is an abundant number, since it is smaller than the sum of its proper divisors (222304592).

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

100095408 is a wasteful number, since it uses less digits than its factorization.

100095408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100095408 is about 10004.7692627067. The cubic root of 100095408 is about 464.3064513431.

The spelling of 100095408 in words is "one hundred million, ninety-five thousand, four hundred eight".