100413900 has 108 divisors (see below), whose sum is σ = 333306792. Its totient is φ = 25198080.

The previous prime is 100413899. The next prime is 100413941. The reversal of 100413900 is 9314001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12019 + ... + 18581.

It is an arithmetic number, because the mean of its divisors is an integer number (3086174).

Almost surely, 2^100413900 is an apocalyptic number.

100413900 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 100413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166653396).

100413900 is an abundant number, since it is smaller than the sum of its proper divisors (232892892).

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

100413900 is a wasteful number, since it uses less digits than its factorization.

100413900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100413900 is about 10020.6736300510. The cubic root of 100413900 is about 464.7983864095.

Adding to 100413900 its reverse (9314001), we get a palindrome (109727901).

The spelling of 100413900 in words is "one hundred million, four hundred thirteen thousand, nine hundred".