100213032 has 32 divisors (see below), whose sum is σ = 251405280. Its totient is φ = 33288000.

The previous prime is 100213031. The next prime is 100213037. The reversal of 100213032 is 230312001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100212999 and 100213017.

It is not an unprimeable number, because it can be changed into a prime (100213031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 14157.

It is an arithmetic number, because the mean of its divisors is an integer number (7856415).

Almost surely, 2^100213032 is an apocalyptic number.

100213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100213032 is an abundant number, since it is smaller than the sum of its proper divisors (151192248).

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

100213032 is a wasteful number, since it uses less digits than its factorization.

100213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14553 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100213032 is about 10010.6459332053. The cubic root of 100213032 is about 464.4882519026.

Adding to 100213032 its reverse (230312001), we get a palindrome (330525033).

The spelling of 100213032 in words is "one hundred million, two hundred thirteen thousand, thirty-two".