105890568 has 96 divisors (see below), whose sum is σ = 310809600. Its totient is φ = 29973888.

The previous prime is 105890563. The next prime is 105890579. The reversal of 105890568 is 865098501.

It is a super-2 number, since 2×105890568² = 22425624782725248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105890563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148998 + ... + 149706.

It is an arithmetic number, because the mean of its divisors is an integer number (3237600).

Almost surely, 2^105890568 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 105890568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155404800).

105890568 is an abundant number, since it is smaller than the sum of its proper divisors (204919032).

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

105890568 is a wasteful number, since it uses less digits than its factorization.

105890568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 105890568 is about 10290.3142809148. The cubic root of 105890568 is about 473.0994312613.

The spelling of 105890568 in words is "one hundred five million, eight hundred ninety thousand, five hundred sixty-eight".