106617904 has 40 divisors (see below), whose sum is σ = 211002368. Its totient is φ = 52176960.

The previous prime is 106617893. The next prime is 106617937. The reversal of 106617904 is 409716601.

It is a super-2 number, since 2×106617904² = 22734754906706432, 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 106617904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290329 + ... + 290695.

Almost surely, 2^106617904 is an apocalyptic number.

It is an amenable number.

106617904 is a deficient number, since it is larger than the sum of its proper divisors (104384464).

106617904 is a wasteful number, since it uses less digits than its factorization.

106617904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 106617904 is about 10325.5946075759. The cubic root of 106617904 is about 474.1801614157.

The spelling of 106617904 in words is "one hundred six million, six hundred seventeen thousand, nine hundred four".