101438568 has 320 divisors, whose sum is σ = 376358400. Its totient is φ = 24727680.

The previous prime is 101438567. The next prime is 101438573. The reversal of 101438568 is 865834101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101438563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 947971 + ... + 948077.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^101438568 is an apocalyptic number.

101438568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101438568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

101438568 is an abundant number, since it is smaller than the sum of its proper divisors (274919832).

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

101438568 is a wasteful number, since it uses less digits than its factorization.

101438568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 101438568 is about 10071.6715593788. The cubic root of 101438568 is about 466.3740419440.

The spelling of 101438568 in words is "one hundred one million, four hundred thirty-eight thousand, five hundred sixty-eight".