105660164 has 12 divisors (see below), whose sum is σ = 188394444. Its totient is φ = 51833184.

The previous prime is 105660133. The next prime is 105660173. The reversal of 105660164 is 461066501.

It can be written as a sum of positive squares in 2 ways, for example, as 40857664 + 64802500 = 6392^2 + 8050^2 .

It is a super-2 number, since 2×105660164² = 22328140513013792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248987 + ... + 249410.

It is an arithmetic number, because the mean of its divisors is an integer number (15699537).

Almost surely, 2^105660164 is an apocalyptic number.

It is an amenable number.

105660164 is a deficient number, since it is larger than the sum of its proper divisors (82734280).

105660164 is a wasteful number, since it uses less digits than its factorization.

105660164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498454 (or 498452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105660164 is about 10279.1129967522. The cubic root of 105660164 is about 472.7560479660.

The spelling of 105660164 in words is "one hundred five million, six hundred sixty thousand, one hundred sixty-four".