108634416 has 80 divisors (see below), whose sum is σ = 316075008. Its totient is φ = 31852800.

The previous prime is 108634397. The next prime is 108634433. The reversal of 108634416 is 614436801.

It is a super-2 number, since 2×108634416² = 23602872679322112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13050 + ... + 19686.

Almost surely, 2^108634416 is an apocalyptic number.

108634416 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 108634416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158037504).

108634416 is an abundant number, since it is smaller than the sum of its proper divisors (207440592).

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

108634416 is a wasteful number, since it uses less digits than its factorization.

108634416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 108634416 is about 10422.7835053790. The cubic root of 108634416 is about 477.1509703249.

The spelling of 108634416 in words is "one hundred eight million, six hundred thirty-four thousand, four hundred sixteen".