100633372 has 48 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 41038272.

The previous prime is 100633343. The next prime is 100633381. The reversal of 100633372 is 273336001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197454 + ... + 197962.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 2^100633372 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 100633372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

100633372 is an abundant number, since it is smaller than the sum of its proper divisors (110482148).

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

100633372 is a wasteful number, since it uses less digits than its factorization.

100633372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 100633372 is about 10031.6186131651. The cubic root of 100633372 is about 465.1367725002.

Adding to 100633372 its reverse (273336001), we get a palindrome (373969373).

The spelling of 100633372 in words is "one hundred million, six hundred thirty-three thousand, three hundred seventy-two".