100254257 has 2 divisors, whose sum is σ = 100254258. Its totient is φ = 100254256.

The previous prime is 100254251. The next prime is 100254277. The reversal of 100254257 is 752452001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100020001 + 234256 = 10001^2 + 484^2 .

It is a cyclic number.

It is not a de Polignac number, because 100254257 - 2²⁰ = 99205681 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100254251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50127128 + 50127129.

It is an arithmetic number, because the mean of its divisors is an integer number (50127129).

Almost surely, 2^100254257 is an apocalyptic number.

It is an amenable number.

100254257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100254257 is an equidigital number, since it uses as much as digits as its factorization.

100254257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 100254257 is about 10012.7047794290. The cubic root of 100254257 is about 464.5519359121.

The spelling of 100254257 in words is "one hundred million, two hundred fifty-four thousand, two hundred fifty-seven".