100414320 has 80 divisors (see below), whose sum is σ = 324836352. Its totient is φ = 25611520.

The previous prime is 100414319. The next prime is 100414333. The reversal of 100414320 is 23414001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100414320² = 20166071322124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100414320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3576 + ... + 14615.

Almost surely, 2^100414320 is an apocalyptic number.

100414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414320 is an abundant number, since it is smaller than the sum of its proper divisors (224422032).

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

100414320 is a wasteful number, since it uses less digits than its factorization.

100414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18230 (or 18224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100414320 is about 10020.6945867041. The cubic root of 100414320 is about 464.7990344441.

Adding to 100414320 its reverse (23414001), we get a palindrome (123828321).

The spelling of 100414320 in words is "one hundred million, four hundred fourteen thousand, three hundred twenty".