102100431525 has 48 divisors (see below), whose sum is σ = 169286397120. Its totient is φ = 54298892800.

The previous prime is 102100431493. The next prime is 102100431539. The reversal of 102100431525 is 525134001201.

It is a happy number.

It is not a de Polignac number, because 102100431525 - 2⁵ = 102100431493 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102100431495 and 102100431504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58914559 + ... + 58916291.

It is an arithmetic number, because the mean of its divisors is an integer number (3526799940).

Almost surely, 2^102100431525 is an apocalyptic number.

102100431525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102100431525 is a deficient number, since it is larger than the sum of its proper divisors (67185965595).

102100431525 is a wasteful number, since it uses less digits than its factorization.

102100431525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 102100431525 its reverse (525134001201), we get a palindrome (627234432726).

The spelling of 102100431525 in words is "one hundred two billion, one hundred million, four hundred thirty-one thousand, five hundred twenty-five".