105713328 has 40 divisors (see below), whose sum is σ = 312107008. Its totient is φ = 30203712.

The previous prime is 105713303. The next prime is 105713339. The reversal of 105713328 is 823317501.

It is a super-2 number, since 2×105713328² = 22350615433671168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105713295 and 105713304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156976 + ... + 157647.

Almost surely, 2^105713328 is an apocalyptic number.

It is an amenable number.

105713328 is an abundant number, since it is smaller than the sum of its proper divisors (206393680).

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

105713328 is a wasteful number, since it uses less digits than its factorization.

105713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314641 (or 314635 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105713328 is about 10281.6986923368. The cubic root of 105713328 is about 472.8353253630.

The spelling of 105713328 in words is "one hundred five million, seven hundred thirteen thousand, three hundred twenty-eight".