105936961 has 8 divisors (see below), whose sum is σ = 114429224. Its totient is φ = 97493760.

The previous prime is 105936953. The next prime is 105936973. The reversal of 105936961 is 169639501.

It can be written as a sum of positive squares in 4 ways, for example, as 4330561 + 101606400 = 2081^2 + 10080^2 .

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

It is not a de Polignac number, because 105936961 - 2³ = 105936953 is a prime.

It is a super-2 number, since 2×105936961² = 22445279411831042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105936361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7710 + ... + 16471.

It is an arithmetic number, because the mean of its divisors is an integer number (14303653).

Almost surely, 2^105936961 is an apocalyptic number.

It is an amenable number.

105936961 is a deficient number, since it is larger than the sum of its proper divisors (8492263).

105936961 is a wasteful number, since it uses less digits than its factorization.

105936961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24531.

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 105936961 is about 10292.5682412117. The cubic root of 105936961 is about 473.1685129486.

The spelling of 105936961 in words is "one hundred five million, nine hundred thirty-six thousand, nine hundred sixty-one".