100825105333 has 12 divisors (see below), whose sum is σ = 107264222020. Its totient is φ = 94753032192.

The previous prime is 100825105327. The next prime is 100825105349. The reversal of 100825105333 is 333501528001.

It can be written as a sum of positive squares in 6 ways, for example, as 711715684 + 100113389649 = 26678^2 + 316407^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100825105333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100825105295 and 100825105304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100825100333) 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, 64698 + ... + 453691.

Almost surely, 2^100825105333 is an apocalyptic number.

It is an amenable number.

100825105333 is a deficient number, since it is larger than the sum of its proper divisors (6439116687).

100825105333 is an equidigital number, since it uses as much as digits as its factorization.

100825105333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519096 (or 519079 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 100825105333 in words is "one hundred billion, eight hundred twenty-five million, one hundred five thousand, three hundred thirty-three".