105391568 has 80 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 46233600.

The previous prime is 105391549. The next prime is 105391571. The reversal of 105391568 is 865193501.

It is a super-2 number, since 2×105391568² = 22214765210997248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244313 + ... + 244743.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^105391568 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 105391568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

105391568 is an abundant number, since it is smaller than the sum of its proper divisors (126022192).

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

105391568 is a wasteful number, since it uses less digits than its factorization.

105391568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 105391568 is about 10266.0395479464. The cubic root of 105391568 is about 472.3551143542.

The spelling of 105391568 in words is "one hundred five million, three hundred ninety-one thousand, five hundred sixty-eight".