101838384 has 70 divisors (see below), whose sum is σ = 295866356. Its totient is φ = 33942240.

The previous prime is 101838349. The next prime is 101838391. The reversal of 101838384 is 483838101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7299 + ... + 16029.

Almost surely, 2^101838384 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 101838384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147933178).

101838384 is an abundant number, since it is smaller than the sum of its proper divisors (194027972).

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

101838384 is an frugal number, since it uses more digits than its factorization.

101838384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 101838384 is about 10091.5005821731. The cubic root of 101838384 is about 466.9859701379.

The spelling of 101838384 in words is "one hundred one million, eight hundred thirty-eight thousand, three hundred eighty-four".