105901164 has 18 divisors (see below), whose sum is σ = 267694700. Its totient is φ = 35300376.

The previous prime is 105901163. The next prime is 105901207. The reversal of 105901164 is 461109501.

105901164 is a `hidden beast` number, since 1 + 0 + 590 + 11 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105901164² = 22430113073109792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105901163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1470814 + ... + 1470885.

Almost surely, 2^105901164 is an apocalyptic number.

It is an amenable number.

105901164 is an abundant number, since it is smaller than the sum of its proper divisors (161793536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105901164 is a wasteful number, since it uses less digits than its factorization.

105901164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941709 (or 2941704 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105901164 is about 10290.8291211156. The cubic root of 105901164 is about 473.1152110563.

The spelling of 105901164 in words is "one hundred five million, nine hundred one thousand, one hundred sixty-four".