101917920 has 96 divisors (see below), whose sum is σ = 345758112. Its totient is φ = 25085952.

The previous prime is 101917901. The next prime is 101917927. The reversal of 101917920 is 29719101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101917927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 14406.

It is an arithmetic number, because the mean of its divisors is an integer number (3601647).

Almost surely, 2^101917920 is an apocalyptic number.

101917920 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 101917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172879056).

101917920 is an abundant number, since it is smaller than the sum of its proper divisors (243840192).

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

101917920 is a wasteful number, since it uses less digits than its factorization.

101917920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16364 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 101917920 is about 10095.4405550228. The cubic root of 101917920 is about 467.1075108559.

The spelling of 101917920 in words is "one hundred one million, nine hundred seventeen thousand, nine hundred twenty".