100800257 has 4 divisors (see below), whose sum is σ = 101725140. Its totient is φ = 99875376.

The previous prime is 100800239. The next prime is 100800269. The reversal of 100800257 is 752008001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 752008001 = 1567 ⋅479903.

It can be written as a sum of positive squares in 2 ways, for example, as 67634176 + 33166081 = 8224^2 + 5759^2 .

It is a cyclic number.

It is not a de Polignac number, because 100800257 - 2¹⁰ = 100799233 is a prime.

It is a super-2 number, since 2×100800257² = 20321383622532098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100800457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 462278 + ... + 462495.

It is an arithmetic number, because the mean of its divisors is an integer number (25431285).

Almost surely, 2^100800257 is an apocalyptic number.

It is an amenable number.

100800257 is a deficient number, since it is larger than the sum of its proper divisors (924883).

100800257 is an equidigital number, since it uses as much as digits as its factorization.

100800257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924882.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 100800257 is about 10039.9331173071. The cubic root of 100800257 is about 465.3937498126.

Adding to 100800257 its reverse (752008001), we get a palindrome (852808258).

The spelling of 100800257 in words is "one hundred million, eight hundred thousand, two hundred fifty-seven".