100982232 has 144 divisors (see below), whose sum is σ = 304607160. Its totient is φ = 30191616.

The previous prime is 100982209. The next prime is 100982237. The reversal of 100982232 is 232289001.

It is a happy number.

It is a super-2 number, since 2×100982232² = 20394822359403648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100982196 and 100982205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100982237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523128 + ... + 523320.

Almost surely, 2^100982232 is an apocalyptic number.

100982232 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 100982232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152303580).

100982232 is an abundant number, since it is smaller than the sum of its proper divisors (203624928).

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

100982232 is a wasteful number, since it uses less digits than its factorization.

100982232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100982232 is about 10048.9915911996. The cubic root of 100982232 is about 465.6736403521.

The spelling of 100982232 in words is "one hundred million, nine hundred eighty-two thousand, two hundred thirty-two".