100199904 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 26793984.

The previous prime is 100199903. The next prime is 100199909. The reversal of 100199904 is 409991001.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100199903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559687 + ... + 559865.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^100199904 is an apocalyptic number.

100199904 is a gapful number since it is divisible by the number (14) 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 100199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

100199904 is an abundant number, since it is smaller than the sum of its proper divisors (226392096).

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

100199904 is a wasteful number, since it uses less digits than its factorization.

100199904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 100199904 is about 10009.9902097854. The cubic root of 100199904 is about 464.4679682197.

The spelling of 100199904 in words is "one hundred million, one hundred ninety-nine thousand, nine hundred four".