105236807 has 12 divisors (see below), whose sum is σ = 116388000. Its totient is φ = 95067648.

The previous prime is 105236797. The next prime is 105236819. The reversal of 105236807 is 708632501.

It is a happy number.

It is not a de Polignac number, because 105236807 - 2⁶ = 105236743 is a prime.

It is a super-2 number, since 2×105236807² = 22149571095110498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105236897) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1319 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (9699000).

Almost surely, 2^105236807 is an apocalyptic number.

105236807 is a deficient number, since it is larger than the sum of its proper divisors (11151193).

105236807 is a wasteful number, since it uses less digits than its factorization.

105236807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322 (or 13309 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105236807 is about 10258.4992567139. The cubic root of 105236807 is about 472.1237929988.

The spelling of 105236807 in words is "one hundred five million, two hundred thirty-six thousand, eight hundred seven".