101383920 has 320 divisors, whose sum is σ = 404974080. Its totient is φ = 23040000.

The previous prime is 101383907. The next prime is 101383927. The reversal of 101383920 is 29383101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101383927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403795 + ... + 404045.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^101383920 is an apocalyptic number.

101383920 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 101383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

101383920 is an abundant number, since it is smaller than the sum of its proper divisors (303590160).

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

101383920 is a wasteful number, since it uses less digits than its factorization.

101383920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101383920 is about 10068.9582380701. The cubic root of 101383920 is about 466.2902770037.

The spelling of 101383920 in words is "one hundred one million, three hundred eighty-three thousand, nine hundred twenty".