101335920 has 160 divisors (see below), whose sum is σ = 366643200. Its totient is φ = 23143680.

The previous prime is 101335909. The next prime is 101335937. The reversal of 101335920 is 29533101.

It is a happy number.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

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, 81705 + ... + 82935.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2^101335920 is an apocalyptic number.

101335920 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 101335920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183321600).

101335920 is an abundant number, since it is smaller than the sum of its proper divisors (265307280).

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

101335920 is a wasteful number, since it uses less digits than its factorization.

101335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 101335920 is about 10066.5743925131. The cubic root of 101335920 is about 466.2166773426.

The spelling of 101335920 in words is "one hundred one million, three hundred thirty-five thousand, nine hundred twenty".