105672732 has 48 divisors (see below), whose sum is σ = 274724352. Its totient is φ = 31338880.

The previous prime is 105672719. The next prime is 105672751. The reversal of 105672732 is 237276501.

It is a super-2 number, since 2×105672732² = 22333452576687648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105672693 and 105672702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313 + ... + 14720.

It is an arithmetic number, because the mean of its divisors is an integer number (5723424).

Almost surely, 2^105672732 is an apocalyptic number.

105672732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105672732 is an abundant number, since it is smaller than the sum of its proper divisors (169051620).

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

105672732 is a wasteful number, since it uses less digits than its factorization.

105672732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17098 (or 17096 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 105672732 is about 10279.7243153696. The cubic root of 105672732 is about 472.7747915877.

The spelling of 105672732 in words is "one hundred five million, six hundred seventy-two thousand, seven hundred thirty-two".