100204416 has 96 divisors (see below), whose sum is σ = 310575720. Its totient is φ = 30827520.

The previous prime is 100204411. The next prime is 100204417. The reversal of 100204416 is 614402001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100204411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11631 + ... + 18321.

Almost surely, 2^100204416 is an apocalyptic number.

100204416 is a gapful number since it is divisible by the number (16) 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 100204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155287860).

100204416 is an abundant number, since it is smaller than the sum of its proper divisors (210371304).

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

100204416 is a wasteful number, since it uses less digits than its factorization.

100204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100204416 is about 10010.2155820941. The cubic root of 100204416 is about 464.4749397767.

Adding to 100204416 its reverse (614402001), we get a palindrome (714606417).

The spelling of 100204416 in words is "one hundred million, two hundred four thousand, four hundred sixteen".