105537172 has 48 divisors (see below), whose sum is σ = 215098240. Its totient is φ = 44883072.

The previous prime is 105537167. The next prime is 105537181. The reversal of 105537172 is 271735501.

It is a super-2 number, since 2×105537172² = 22276189347515168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35113 + ... + 37999.

Almost surely, 2^105537172 is an apocalyptic number.

It is an amenable number.

105537172 is an abundant number, since it is smaller than the sum of its proper divisors (109561068).

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

105537172 is a wasteful number, since it uses less digits than its factorization.

105537172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105537172 is about 10273.1286373724. The cubic root of 105537172 is about 472.5725420755.

The spelling of 105537172 in words is "one hundred five million, five hundred thirty-seven thousand, one hundred seventy-two".