101113920 has 280 divisors, whose sum is σ = 371758464. Its totient is φ = 26072064.

The previous prime is 101113907. The next prime is 101113939. The reversal of 101113920 is 29311101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101113893 and 101113902.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218199 + ... + 1218281.

Almost surely, 2^101113920 is an apocalyptic number.

101113920 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 101113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185879232).

101113920 is an abundant number, since it is smaller than the sum of its proper divisors (270644544).

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

101113920 is an equidigital number, since it uses as much as digits as its factorization.

101113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101113920 is about 10055.5417556689. The cubic root of 101113920 is about 465.8759762537.

The spelling of 101113920 in words is "one hundred one million, one hundred thirteen thousand, nine hundred twenty".