101093568 has 56 divisors (see below), whose sum is σ = 269046960. Its totient is φ = 33500160.

The previous prime is 101093567. The next prime is 101093581. The reversal of 101093568 is 865390101.

It is not an unprimeable number, because it can be changed into a prime (101093561) 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, 33298 + ... + 36206.

It is an arithmetic number, because the mean of its divisors is an integer number (4804410).

Almost surely, 2^101093568 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 101093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134523480).

101093568 is an abundant number, since it is smaller than the sum of its proper divisors (167953392).

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

101093568 is a wasteful number, since it uses less digits than its factorization.

101093568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 101093568 is about 10054.5297254521. The cubic root of 101093568 is about 465.8447173064.

The spelling of 101093568 in words is "one hundred one million, ninety-three thousand, five hundred sixty-eight".