105656361 has 16 divisors (see below), whose sum is σ = 142709760. Its totient is φ = 69526800.

The previous prime is 105656357. The next prime is 105656363. The reversal of 105656361 is 163656501.

It is not a de Polignac number, because 105656361 - 2² = 105656357 is a prime.

It is a super-2 number, since 2×105656361² = 22326533239524642, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105656363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80436 + ... + 81738.

It is an arithmetic number, because the mean of its divisors is an integer number (8919360).

Almost surely, 2^105656361 is an apocalyptic number.

It is an amenable number.

105656361 is a deficient number, since it is larger than the sum of its proper divisors (37053399).

105656361 is a wasteful number, since it uses less digits than its factorization.

105656361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105656361 is about 10278.9280083090. The cubic root of 105656361 is about 472.7503759677.

The spelling of 105656361 in words is "one hundred five million, six hundred fifty-six thousand, three hundred sixty-one".