100412312 has 64 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 36109440.

The previous prime is 100412309. The next prime is 100412327. The reversal of 100412312 is 213214001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739 + ... + 14277.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^100412312 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 100412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

100412312 is an abundant number, since it is smaller than the sum of its proper divisors (152394088).

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

100412312 is a wasteful number, since it uses less digits than its factorization.

100412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100412312 is about 10020.5943935477. The cubic root of 100412312 is about 464.7959362051.

Adding to 100412312 its reverse (213214001), we get a palindrome (313626313).

The spelling of 100412312 in words is "one hundred million, four hundred twelve thousand, three hundred twelve".