105715720 has 32 divisors (see below), whose sum is σ = 259485120. Its totient is φ = 38441920.

The previous prime is 105715717. The next prime is 105715723. The reversal of 105715720 is 27517501.

It is an interprime number because it is at equal distance from previous prime (105715717) and next prime (105715723).

It is a super-2 number, since 2×105715720² = 22351626910236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105715723) 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, 119692 + ... + 120571.

It is an arithmetic number, because the mean of its divisors is an integer number (8108910).

Almost surely, 2^105715720 is an apocalyptic number.

105715720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105715720 is an abundant number, since it is smaller than the sum of its proper divisors (153769400).

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

105715720 is a wasteful number, since it uses less digits than its factorization.

105715720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240285 (or 240281 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 105715720 is about 10281.8150148697. The cubic root of 105715720 is about 472.8388916543.

The spelling of 105715720 in words is "one hundred five million, seven hundred fifteen thousand, seven hundred twenty".