105710720 has 32 divisors (see below), whose sum is σ = 252716220. Its totient is φ = 42284032.

The previous prime is 105710719. The next prime is 105710723. The reversal of 105710720 is 27017501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99520576 + 6190144 = 9976^2 + 2488^2 .

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

It is a super-2 number, since 2×105710720² = 22349512645836800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105710723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81947 + ... + 83226.

Almost surely, 2^105710720 is an apocalyptic number.

105710720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105710720 is an abundant number, since it is smaller than the sum of its proper divisors (147005500).

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

105710720 is an equidigital number, since it uses as much as digits as its factorization.

105710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165192 (or 165180 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 105710720 is about 10281.5718642628. The cubic root of 105710720 is about 472.8314369707.

The spelling of 105710720 in words is "one hundred five million, seven hundred ten thousand, seven hundred twenty".