102505401 has 12 divisors (see below), whose sum is σ = 153169380. Its totient is φ = 65980320.

The previous prime is 102505397. The next prime is 102505433. The reversal of 102505401 is 104505201.

102505401 is a `hidden beast` number, since 10 + 250 + 5 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82791801 + 19713600 = 9099^2 + 4440^2 .

It is not a de Polignac number, because 102505401 - 2² = 102505397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102505451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196110 + ... + 196631.

It is an arithmetic number, because the mean of its divisors is an integer number (12764115).

Almost surely, 2^102505401 is an apocalyptic number.

It is an amenable number.

102505401 is a deficient number, since it is larger than the sum of its proper divisors (50663979).

102505401 is a wasteful number, since it uses less digits than its factorization.

102505401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392776 (or 392773 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102505401 is about 10124.4950985222. The cubic root of 102505401 is about 468.0033009848.

Subtracting from 102505401 its product of nonzero digits (200), we obtain a palindrome (102505201).

It can be divided in two parts, 10250 and 5401, that added together give a palindrome (15651).

The spelling of 102505401 in words is "one hundred two million, five hundred five thousand, four hundred one".