100991604 has 48 divisors (see below), whose sum is σ = 271152000. Its totient is φ = 28657536.

The previous prime is 100991591. The next prime is 100991609. The reversal of 100991604 is 406199001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100991609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (5649000).

Almost surely, 2^100991604 is an apocalyptic number.

100991604 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 100991604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135576000).

100991604 is an abundant number, since it is smaller than the sum of its proper divisors (170160396).

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

100991604 is a wasteful number, since it uses less digits than its factorization.

100991604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 100991604 is about 10049.4578958270. The cubic root of 100991604 is about 465.6880460493.

The spelling of 100991604 in words is "one hundred million, nine hundred ninety-one thousand, six hundred four".