105636945 has 16 divisors (see below), whose sum is σ = 169149312. Its totient is φ = 56296320.

The previous prime is 105636919. The next prime is 105636967. The reversal of 105636945 is 549636501.

It is not a de Polignac number, because 105636945 - 2¹⁰ = 105635921 is a prime.

It is a super-2 number, since 2×105636945² = 22318328297866050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 30660 + ... + 33930.

It is an arithmetic number, because the mean of its divisors is an integer number (10571832).

Almost surely, 2^105636945 is an apocalyptic number.

105636945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105636945 is a deficient number, since it is larger than the sum of its proper divisors (63512367).

105636945 is a wasteful number, since it uses less digits than its factorization.

105636945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 105636945 is about 10277.9835084515. The cubic root of 105636945 is about 472.7214157816.

The spelling of 105636945 in words is "one hundred five million, six hundred thirty-six thousand, nine hundred forty-five".