105283712 has 32 divisors (see below), whose sum is σ = 220789200. Its totient is φ = 49870080.

The previous prime is 105283697. The next prime is 105283723. The reversal of 105283712 is 217382501.

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

It is a super-2 number, since 2×105283712² = 22169320024997888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19214 + ... + 24077.

Almost surely, 2^105283712 is an apocalyptic number.

It is an amenable number.

105283712 is an abundant number, since it is smaller than the sum of its proper divisors (115505488).

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

105283712 is an equidigital number, since it uses as much as digits as its factorization.

105283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43324 (or 43312 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 105283712 is about 10260.7851551429. The cubic root of 105283712 is about 472.1939258667.

The spelling of 105283712 in words is "one hundred five million, two hundred eighty-three thousand, seven hundred twelve".