105666156 has 18 divisors (see below), whose sum is σ = 267100652. Its totient is φ = 35222040.

The previous prime is 105666139. The next prime is 105666157. The reversal of 105666156 is 651666501.

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

It is a super-2 number, since 2×105666156² = 22330673047632672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2935171 = 105666156 / (1 + 0 + 5 + 6 + 6 + 6 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 105666156.

It is not an unprimeable number, because it can be changed into a prime (105666157) 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 5 ways as a sum of consecutive naturals, for example, 1467550 + ... + 1467621.

Almost surely, 2^105666156 is an apocalyptic number.

It is an amenable number.

105666156 is an abundant number, since it is smaller than the sum of its proper divisors (161434496).

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

105666156 is a wasteful number, since it uses less digits than its factorization.

105666156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935181 (or 2935176 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105666156 is about 10279.4044574576. The cubic root of 105666156 is about 472.7649844803.

The spelling of 105666156 in words is "one hundred five million, six hundred sixty-six thousand, one hundred fifty-six".