100500312 has 64 divisors (see below), whose sum is σ = 283564800. Its totient is φ = 29402240.

The previous prime is 100500299. The next prime is 100500319. The reversal of 100500312 is 213005001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100500319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (4430700).

Almost surely, 2^100500312 is an apocalyptic number.

100500312 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 100500312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141782400).

100500312 is an abundant number, since it is smaller than the sum of its proper divisors (183064488).

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

100500312 is a wasteful number, since it uses less digits than its factorization.

100500312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 13172 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100500312 is about 10024.9843890153. The cubic root of 100500312 is about 464.9316768619.

Adding to 100500312 its reverse (213005001), we get a palindrome (313505313).

The spelling of 100500312 in words is "one hundred million, five hundred thousand, three hundred twelve".