101233320 has 64 divisors (see below), whose sum is σ = 305000640. Its totient is φ = 26880000.

The previous prime is 101233289. The next prime is 101233331. The reversal of 101233320 is 23332101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101233320.

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, 28440 + ... + 31800.

It is an arithmetic number, because the mean of its divisors is an integer number (4765635).

Almost surely, 2^101233320 is an apocalyptic number.

101233320 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 101233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500320).

101233320 is an abundant number, since it is smaller than the sum of its proper divisors (203767320).

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

101233320 is a wasteful number, since it uses less digits than its factorization.

101233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 101233320 is about 10061.4770287468. The cubic root of 101233320 is about 466.0592800982.

Adding to 101233320 its reverse (23332101), we get a palindrome (124565421).

The spelling of 101233320 in words is "one hundred one million, two hundred thirty-three thousand, three hundred twenty".