105712768 has 64 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 44900352.

The previous prime is 105712757. The next prime is 105712769. The reversal of 105712768 is 867217501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105712768² = 22350378636443648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105712769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113328 + ... + 114256.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^105712768 is an apocalyptic number.

105712768 is the 6503-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

105712768 is an abundant number, since it is smaller than the sum of its proper divisors (137128832).

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

105712768 is an equidigital number, since it uses as much as digits as its factorization.

105712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105712768 is about 10281.6714594467. The cubic root of 105712768 is about 472.8344904375.

The spelling of 105712768 in words is "one hundred five million, seven hundred twelve thousand, seven hundred sixty-eight".