100405206325 has 24 divisors (see below), whose sum is σ = 127892467880. Its totient is φ = 78137913600.

The previous prime is 100405206289. The next prime is 100405206331. The reversal of 100405206325 is 523602504001.

It can be written as a sum of positive squares in 12 ways, for example, as 87946884 + 100317259441 = 9378^2 + 316729^2 .

It is not a de Polignac number, because 100405206325 - 2¹³ = 100405198133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100405206293 and 100405206302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7820011 + ... + 7832839.

Almost surely, 2^100405206325 is an apocalyptic number.

It is an amenable number.

100405206325 is a deficient number, since it is larger than the sum of its proper divisors (27487261555).

100405206325 is a wasteful number, since it uses less digits than its factorization.

100405206325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337 (or 21332 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 100405206325 in words is "one hundred billion, four hundred five million, two hundred six thousand, three hundred twenty-five".