100242132 has 48 divisors (see below), whose sum is σ = 248411520. Its totient is φ = 31352832.

The previous prime is 100242113. The next prime is 100242143. The reversal of 100242132 is 231242001.

It is a congruent number.

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, 98844 + ... + 99852.

It is an arithmetic number, because the mean of its divisors is an integer number (5175240).

Almost surely, 2^100242132 is an apocalyptic number.

100242132 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 100242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124205760).

100242132 is an abundant number, since it is smaller than the sum of its proper divisors (148169388).

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

100242132 is a wasteful number, since it uses less digits than its factorization.

100242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100242132 is about 10012.0992803707. The cubic root of 100242132 is about 464.5332071336.

Adding to 100242132 its reverse (231242001), we get a palindrome (331484133).

It can be divided in two parts, 1002 and 42132, that added together give a palindrome (43134).

The spelling of 100242132 in words is "one hundred million, two hundred forty-two thousand, one hundred thirty-two".