105660108 has 36 divisors (see below), whose sum is σ = 276297840. Its totient is φ = 34005216.

The previous prime is 105660103. The next prime is 105660109. The reversal of 105660108 is 801066501.

105660108 is a `hidden beast` number, since 1 + 0 + 56 + 601 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105660108² = 22328116845143328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105660103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49560 + ... + 51647.

It is an arithmetic number, because the mean of its divisors is an integer number (7674940).

Almost surely, 2^105660108 is an apocalyptic number.

105660108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105660108 is an abundant number, since it is smaller than the sum of its proper divisors (170637732).

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

105660108 is a wasteful number, since it uses less digits than its factorization.

105660108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101246 (or 101241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105660108 is about 10279.1102727814. The cubic root of 105660108 is about 472.7559644456.

The spelling of 105660108 in words is "one hundred five million, six hundred sixty thousand, one hundred eight".