100213180 has 24 divisors (see below), whose sum is σ = 210979440. Its totient is φ = 39984000.

The previous prime is 100213153. The next prime is 100213187. The reversal of 100213180 is 81312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213187) 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, 2055 + ... + 14305.

It is an arithmetic number, because the mean of its divisors is an integer number (8790810).

Almost surely, 2^100213180 is an apocalyptic number.

100213180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213180 is an abundant number, since it is smaller than the sum of its proper divisors (110766260).

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

100213180 is a wasteful number, since it uses less digits than its factorization.

100213180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 100213180 is about 10010.6533253330. The cubic root of 100213180 is about 464.4884805629.

Adding to 100213180 its reverse (81312001), we get a palindrome (181525181).

The spelling of 100213180 in words is "one hundred million, two hundred thirteen thousand, one hundred eighty".