101232032 has 48 divisors (see below), whose sum is σ = 219088800. Its totient is φ = 45661440.

The previous prime is 101232017. The next prime is 101232041. The reversal of 101232032 is 230232101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101231998 and 101232016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47894 + ... + 49962.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2^101232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109544400).

101232032 is an abundant number, since it is smaller than the sum of its proper divisors (117856768).

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

101232032 is a wasteful number, since it uses less digits than its factorization.

101232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2221 counting only the distinct ones).

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

The square root of 101232032 is about 10061.4130220362. The cubic root of 101232032 is about 466.0573035194.

Adding to 101232032 its reverse (230232101), we get a palindrome (331464133).

The spelling of 101232032 in words is "one hundred one million, two hundred thirty-two thousand, thirty-two".