100625312 has 48 divisors (see below), whose sum is σ = 211808520. Its totient is φ = 46891008.

The previous prime is 100625309. The next prime is 100625333. The reversal of 100625312 is 213526001.

It can be written as a sum of positive squares in 4 ways, for example, as 98327056 + 2298256 = 9916^2 + 1516^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58448 + ... + 60144.

Almost surely, 2^100625312 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 100625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105904260).

100625312 is an abundant number, since it is smaller than the sum of its proper divisors (111183208).

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

100625312 is a wasteful number, since it uses less digits than its factorization.

100625312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100625312 is about 10031.2168753347. The cubic root of 100625312 is about 465.1243541463.

The spelling of 100625312 in words is "one hundred million, six hundred twenty-five thousand, three hundred twelve".