102400135405325 has 12 divisors (see below), whose sum is σ = 126976314219348. Its totient is φ = 81920013926400.

The previous prime is 102400135405283. The next prime is 102400135405349. The reversal of 102400135405325 is 523504531004201.

It can be written as a sum of positive squares in 6 ways, for example, as 13137188724676 + 89262946680649 = 3624526^2 + 9447907^2 .

It is not a de Polignac number, because 102400135405325 - 2²⁴ = 102400118628109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26866445 + ... + 30440205.

It is an arithmetic number, because the mean of its divisors is an integer number (10581359518279).

Almost surely, 2^{102400135405325} is an apocalyptic number.

It is an amenable number.

102400135405325 is a deficient number, since it is larger than the sum of its proper divisors (24576178814023).

102400135405325 is a wasteful number, since it uses less digits than its factorization.

102400135405325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719904 (or 4719899 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 102400135405325 its reverse (523504531004201), we get a palindrome (625904666409526).

The spelling of 102400135405325 in words is "one hundred two trillion, four hundred billion, one hundred thirty-five million, four hundred five thousand, three hundred twenty-five".