101713920 has 384 divisors, whose sum is σ = 415134720. Its totient is φ = 20643840.

The previous prime is 101713903. The next prime is 101713949. The reversal of 101713920 is 29317101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365419 + ... + 2365461.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^101713920 is an apocalyptic number.

101713920 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 101713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

101713920 is an abundant number, since it is smaller than the sum of its proper divisors (313420800).

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

101713920 is a wasteful number, since it uses less digits than its factorization.

101713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 101713920 is about 10085.3319231446. The cubic root of 101713920 is about 466.7956468880.

The spelling of 101713920 in words is "one hundred one million, seven hundred thirteen thousand, nine hundred twenty".