101838320 has 40 divisors (see below), whose sum is σ = 239007024. Its totient is φ = 40351232.

The previous prime is 101838311. The next prime is 101838323. The reversal of 101838320 is 23838101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101838320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101838323) 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, 2612 + ... + 14508.

Almost surely, 2^101838320 is an apocalyptic number.

101838320 is a gapful number since it is divisible by the number (10) 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 101838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119503512).

101838320 is an abundant number, since it is smaller than the sum of its proper divisors (137168704).

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

101838320 is a wasteful number, since it uses less digits than its factorization.

101838320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12017 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 101838320 is about 10091.4974111873. The cubic root of 101838320 is about 466.9858723126.

The spelling of 101838320 in words is "one hundred one million, eight hundred thirty-eight thousand, three hundred twenty".