105996808 has 32 divisors (see below), whose sum is σ = 204324120. Its totient is φ = 51520000.

The previous prime is 105996799. The next prime is 105996817. The reversal of 105996808 is 808699501.

It is an interprime number because it is at equal distance from previous prime (105996799) and next prime (105996817).

It can be written as a sum of positive squares in 4 ways, for example, as 75724804 + 30272004 = 8702^2 + 5502^2 .

It is a super-2 number, since 2×105996808² = 22470646612377728, which contains 22 as substring.

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, 150858 + ... + 151558.

Almost surely, 2^105996808 is an apocalyptic number.

It is an amenable number.

105996808 is a deficient number, since it is larger than the sum of its proper divisors (98327312).

105996808 is a wasteful number, since it uses less digits than its factorization.

105996808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 105996808 is about 10295.4751225963. The cubic root of 105996808 is about 473.2575985862.

The spelling of 105996808 in words is "one hundred five million, nine hundred ninety-six thousand, eight hundred eight".