106635904 has 64 divisors (see below), whose sum is σ = 225828000. Its totient is φ = 50015232.

The previous prime is 106635863. The next prime is 106635913. The reversal of 106635904 is 409536601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106635904² = 22742432043794432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106635904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396282 + ... + 396550.

Almost surely, 2^106635904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112914000).

106635904 is an abundant number, since it is smaller than the sum of its proper divisors (119192096).

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

106635904 is a wasteful number, since it uses less digits than its factorization.

106635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 106635904 is about 10326.4661912970. The cubic root of 106635904 is about 474.2068447472.

The spelling of 106635904 in words is "one hundred six million, six hundred thirty-five thousand, nine hundred four".