101232320 has 112 divisors (see below), whose sum is σ = 282171648. Its totient is φ = 33868800.

The previous prime is 101232319. The next prime is 101232337. The reversal of 101232320 is 23232101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101232320² = 20495965225164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101232295 and 101232304.

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, 95795 + ... + 96845.

Almost surely, 2^101232320 is an apocalyptic number.

101232320 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 101232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141085824).

101232320 is an abundant number, since it is smaller than the sum of its proper divisors (180939328).

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

101232320 is a wasteful number, since it uses less digits than its factorization.

101232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101232320 is about 10061.4273341311. The cubic root of 101232320 is about 466.0577454888.

Adding to 101232320 its reverse (23232101), we get a palindrome (124464421).

The spelling of 101232320 in words is "one hundred one million, two hundred thirty-two thousand, three hundred twenty".