101233920 has 144 divisors (see below), whose sum is σ = 331716672. Its totient is φ = 26296320.

The previous prime is 101233907. The next prime is 101233931. The reversal of 101233920 is 29332101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157119 + ... + 157761.

It is an arithmetic number, because the mean of its divisors is an integer number (2303588).

Almost surely, 2^101233920 is an apocalyptic number.

101233920 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 101233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165858336).

101233920 is an abundant number, since it is smaller than the sum of its proper divisors (230482752).

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

101233920 is an equidigital number, since it uses as much as digits as its factorization.

101233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 101233920 is about 10061.5068453985. The cubic root of 101233920 is about 466.0602008590.

The spelling of 101233920 in words is "one hundred one million, two hundred thirty-three thousand, nine hundred twenty".