105713732 has 12 divisors (see below), whose sum is σ = 188032236. Its totient is φ = 51990240.

The previous prime is 105713723. The next prime is 105713749. The reversal of 105713732 is 237317501.

It can be written as a sum of positive squares in 2 ways, for example, as 59691076 + 46022656 = 7726^2 + 6784^2 .

It is a super-2 number, since 2×105713732² = 22350786266735648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105713695 and 105713704.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216383 + ... + 216870.

It is an arithmetic number, because the mean of its divisors is an integer number (15669353).

Almost surely, 2^105713732 is an apocalyptic number.

It is an amenable number.

105713732 is a deficient number, since it is larger than the sum of its proper divisors (82318504).

105713732 is a wasteful number, since it uses less digits than its factorization.

105713732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433318 (or 433316 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 105713732 is about 10281.7183388770. The cubic root of 105713732 is about 472.8359277002.

The spelling of 105713732 in words is "one hundred five million, seven hundred thirteen thousand, seven hundred thirty-two".