102400257 has 16 divisors (see below), whose sum is σ = 138175488. Its totient is φ = 67451520.

The previous prime is 102400229. The next prime is 102400271. The reversal of 102400257 is 752004201.

It is not a de Polignac number, because 102400257 - 2²² = 98205953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102400217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98613 + ... + 99645.

It is an arithmetic number, because the mean of its divisors is an integer number (8635968).

Almost surely, 2^102400257 is an apocalyptic number.

It is an amenable number.

102400257 is a deficient number, since it is larger than the sum of its proper divisors (35775231).

102400257 is a wasteful number, since it uses less digits than its factorization.

102400257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 102400257 is about 10119.3012110521. The cubic root of 102400257 is about 467.8432295057.

Adding to 102400257 its reverse (752004201), we get a palindrome (854404458).

The spelling of 102400257 in words is "one hundred two million, four hundred thousand, two hundred fifty-seven".