100338408 has 24 divisors (see below), whose sum is σ = 271750050. Its totient is φ = 33446112.

The previous prime is 100338383. The next prime is 100338419. The reversal of 100338408 is 804833001.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 777924 = 9978^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100338408² = 20135592239948928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696723 + ... + 696866.

Almost surely, 2^100338408 is an apocalyptic number.

100338408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100338408 is an abundant number, since it is smaller than the sum of its proper divisors (171411642).

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

100338408 is a wasteful number, since it uses less digits than its factorization.

100338408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393601 (or 1393594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100338408 is about 10016.9061091736. The cubic root of 100338408 is about 464.6818774509.

The spelling of 100338408 in words is "one hundred million, three hundred thirty-eight thousand, four hundred eight".