105900160 has 32 divisors (see below), whose sum is σ = 253169100. Its totient is φ = 42359808.

The previous prime is 105900139. The next prime is 105900161. The reversal of 105900160 is 61009501.

It can be written as a sum of positive squares in 2 ways, for example, as 100480576 + 5419584 = 10024^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105900160² = 22429687776051200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105900161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82095 + ... + 83374.

Almost surely, 2^105900160 is an apocalyptic number.

105900160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105900160 is an abundant number, since it is smaller than the sum of its proper divisors (147268940).

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

105900160 is an equidigital number, since it uses as much as digits as its factorization.

105900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165488 (or 165476 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105900160 is about 10290.7803397021. The cubic root of 105900160 is about 473.1137159227.

Adding to 105900160 its reverse (61009501), we get a palindrome (166909661).

The spelling of 105900160 in words is "one hundred five million, nine hundred thousand, one hundred sixty".