105941160 has 96 divisors (see below), whose sum is σ = 370810440. Its totient is φ = 26076672.

The previous prime is 105941153. The next prime is 105941179. The reversal of 105941160 is 61149501.

105941160 is a `hidden beast` number, since 1 + 0 + 594 + 11 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53494596 + 52446564 = 7314^2 + 7242^2 .

It is a super-2 number, since 2×105941160² = 22447058764291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6639 + ... + 15998.

Almost surely, 2^105941160 is an apocalyptic number.

105941160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105941160 is an abundant number, since it is smaller than the sum of its proper divisors (264869280).

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

105941160 is a wasteful number, since it uses less digits than its factorization.

105941160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667 (or 22660 counting only the distinct ones).

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

The square root of 105941160 is about 10292.7722213211. The cubic root of 105941160 is about 473.1747644914.

The spelling of 105941160 in words is "one hundred five million, nine hundred forty-one thousand, one hundred sixty".