100027312 has 100 divisors (see below), whose sum is σ = 247630480. Its totient is φ = 38332800.

The previous prime is 100027309. The next prime is 100027339. The reversal of 100027312 is 213720001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1639762 + ... + 1639822.

Almost surely, 2^100027312 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 100027312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123815240).

100027312 is an abundant number, since it is smaller than the sum of its proper divisors (147603168).

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

100027312 is an frugal number, since it uses more digits than its factorization.

100027312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 100027312 is about 10001.3655067696. The cubic root of 100027312 is about 464.2011365395.

Adding to 100027312 its reverse (213720001), we get a palindrome (313747313).

The spelling of 100027312 in words is "one hundred million, twenty-seven thousand, three hundred twelve".