105636961 has 8 divisors (see below), whose sum is σ = 109044800. Its totient is φ = 102258288.

The previous prime is 105636919. The next prime is 105636967. The reversal of 105636961 is 169636501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105636961 - 2⁹ = 105636449 is a prime.

It is a super-2 number, since 2×105636961² = 22318335058631042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105636961.

It is not an unprimeable number, because it can be changed into a prime (105636967) 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 7 ways as a sum of consecutive naturals, for example, 190 + ... + 14536.

It is an arithmetic number, because the mean of its divisors is an integer number (13630600).

Almost surely, 2^105636961 is an apocalyptic number.

It is an amenable number.

105636961 is a deficient number, since it is larger than the sum of its proper divisors (3407839).

105636961 is a wasteful number, since it uses less digits than its factorization.

105636961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 105636961 is about 10277.9842868142. The cubic root of 105636961 is about 472.7214396481.

The spelling of 105636961 in words is "one hundred five million, six hundred thirty-six thousand, nine hundred sixty-one".