105996807 has 12 divisors (see below), whose sum is σ = 174978960. Its totient is φ = 60569568.

The previous prime is 105996799. The next prime is 105996817. The reversal of 105996807 is 708699501.

It is not a de Polignac number, because 105996807 - 2³ = 105996799 is a prime.

It is a super-2 number, since 2×105996807² = 22470646188390498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105996817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841182 + ... + 841307.

It is an arithmetic number, because the mean of its divisors is an integer number (14581580).

Almost surely, 2^105996807 is an apocalyptic number.

105996807 is a deficient number, since it is larger than the sum of its proper divisors (68982153).

105996807 is a wasteful number, since it uses less digits than its factorization.

105996807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682502 (or 1682499 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105996807 is about 10295.4750740313. The cubic root of 105996807 is about 473.2575970979.

The spelling of 105996807 in words is "one hundred five million, nine hundred ninety-six thousand, eight hundred seven".