100244257 has 8 divisors (see below), whose sum is σ = 107596296. Its totient is φ = 93053952.

The previous prime is 100244251. The next prime is 100244267. The reversal of 100244257 is 752442001.

It can be written as a sum of positive squares in 4 ways, for example, as 64256256 + 35988001 = 8016^2 + 5999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100244257 - 2¹¹ = 100242209 is a prime.

It is a super-2 number, since 2×100244257² = 20097822122964098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100244251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39148 + ... + 41629.

It is an arithmetic number, because the mean of its divisors is an integer number (13449537).

Almost surely, 2^100244257 is an apocalyptic number.

100244257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100244257 is a deficient number, since it is larger than the sum of its proper divisors (7352039).

100244257 is an equidigital number, since it uses as much as digits as its factorization.

100244257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80867.

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 100244257 is about 10012.2054014088. The cubic root of 100244257 is about 464.5364896060.

Adding to 100244257 its reverse (752442001), we get a palindrome (852686258).

The spelling of 100244257 in words is "one hundred million, two hundred forty-four thousand, two hundred fifty-seven".