100252314 has 48 divisors (see below), whose sum is σ = 225293640. Its totient is φ = 32192640.

The previous prime is 100252241. The next prime is 100252319. The reversal of 100252314 is 413252001.

100252314 is a `hidden beast` number, since 100 + 252 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99500625 + 751689 = 9975^2 + 867^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100252319) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71904 + ... + 73284.

Almost surely, 2^100252314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100252314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112646820).

100252314 is an abundant number, since it is smaller than the sum of its proper divisors (125041326).

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

100252314 is a wasteful number, since it uses less digits than its factorization.

100252314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100252314 is about 10012.6077522292. The cubic root of 100252314 is about 464.5489347752.

The spelling of 100252314 in words is "one hundred million, two hundred fifty-two thousand, three hundred fourteen".