101383568 has 80 divisors (see below), whose sum is σ = 234318336. Its totient is φ = 41886720.

The previous prime is 101383543. The next prime is 101383571. The reversal of 101383568 is 865383101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166721 + ... + 167327.

Almost surely, 2^101383568 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 101383568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117159168).

101383568 is an abundant number, since it is smaller than the sum of its proper divisors (132934768).

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

101383568 is a wasteful number, since it uses less digits than its factorization.

101383568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 101383568 is about 10068.9407585903. The cubic root of 101383568 is about 466.2897373574.

The spelling of 101383568 in words is "one hundred one million, three hundred eighty-three thousand, five hundred sixty-eight".