100323132 has 144 divisors (see below), whose sum is σ = 299077632. Its totient is φ = 25608960.

The previous prime is 100323131. The next prime is 100323143. The reversal of 100323132 is 231323001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525157 + ... + 525347.

It is an arithmetic number, because the mean of its divisors is an integer number (2076928).

Almost surely, 2^100323132 is an apocalyptic number.

100323132 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 100323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149538816).

100323132 is an abundant number, since it is smaller than the sum of its proper divisors (198754500).

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

100323132 is a wasteful number, since it uses less digits than its factorization.

100323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

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

The square root of 100323132 is about 10016.1435692586. The cubic root of 100323132 is about 464.6582944556.

Adding to 100323132 its reverse (231323001), we get a palindrome (331646133).

The spelling of 100323132 in words is "one hundred million, three hundred twenty-three thousand, one hundred thirty-two".