101385920 has 56 divisors (see below), whose sum is σ = 247979184. Its totient is φ = 39453696.

The previous prime is 101385917. The next prime is 101385953. The reversal of 101385920 is 29583101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7559 + ... + 16121.

Almost surely, 2^101385920 is an apocalyptic number.

101385920 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 101385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123989592).

101385920 is an abundant number, since it is smaller than the sum of its proper divisors (146593264).

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

101385920 is an equidigital number, since it uses as much as digits as its factorization.

101385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 101385920 is about 10069.0575527206. The cubic root of 101385920 is about 466.2933431520.

The spelling of 101385920 in words is "one hundred one million, three hundred eighty-five thousand, nine hundred twenty".