100032223032 has 96 divisors (see below), whose sum is σ = 310115220480. Its totient is φ = 28535250240.

The previous prime is 100032223019. The next prime is 100032223033. The reversal of 100032223032 is 230322230001.

It is a happy number.

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 = 100032222996 and 100032223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032223033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160753 + ... + 475295.

It is an arithmetic number, because the mean of its divisors is an integer number (3230366880).

Almost surely, 2^100032223032 is an apocalyptic number.

100032223032 is a gapful number since it is divisible by the number (12) 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 100032223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155057610240).

100032223032 is an abundant number, since it is smaller than the sum of its proper divisors (210082997448).

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

100032223032 is a wasteful number, since it uses less digits than its factorization.

100032223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315193 (or 315186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100032223032 its reverse (230322230001), we get a palindrome (330354453033).

The spelling of 100032223032 in words is "one hundred billion, thirty-two million, two hundred twenty-three thousand, thirty-two".