105715968 has 72 divisors (see below), whose sum is σ = 283298400. Its totient is φ = 34996224.

The previous prime is 105715963. The next prime is 105716003. The reversal of 105715968 is 869517501.

It is a super-2 number, since 2×105715968² = 22351731780354048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105715963) 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, 137088 + ... + 137856.

It is an arithmetic number, because the mean of its divisors is an integer number (3934700).

Almost surely, 2^105715968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141649200).

105715968 is an abundant number, since it is smaller than the sum of its proper divisors (177582432).

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

105715968 is an equidigital number, since it uses as much as digits as its factorization.

105715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 105715968 is about 10281.8270749901. The cubic root of 105715968 is about 472.8392614005.

The spelling of 105715968 in words is "one hundred five million, seven hundred fifteen thousand, nine hundred sixty-eight".