100641257 has 4 divisors (see below), whose sum is σ = 100680276. Its totient is φ = 100602240.

The previous prime is 100641251. The next prime is 100641259. The reversal of 100641257 is 752146001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5851561 + 94789696 = 2419^2 + 9736^2 .

It is a cyclic number.

It is not a de Polignac number, because 100641257 - 2⁸ = 100641001 is a prime.

It is a super-2 number, since 2×100641257² = 20257325221080098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100641251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15344 + ... + 20897.

It is an arithmetic number, because the mean of its divisors is an integer number (25170069).

Almost surely, 2^100641257 is an apocalyptic number.

It is an amenable number.

100641257 is a deficient number, since it is larger than the sum of its proper divisors (39019).

100641257 is an equidigital number, since it uses as much as digits as its factorization.

100641257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39018.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 100641257 is about 10032.0116128322. The cubic root of 100641257 is about 465.1489205832.

Adding to 100641257 its reverse (752146001), we get a palindrome (852787258).

The spelling of 100641257 in words is "one hundred million, six hundred forty-one thousand, two hundred fifty-seven".