100193725385 has 16 divisors (see below), whose sum is σ = 129487803984. Its totient is φ = 73985394432.

The previous prime is 100193725339. The next prime is 100193725393. The reversal of 100193725385 is 583527391001.

It can be written as a sum of positive squares in 8 ways, for example, as 627602704 + 99566122681 = 25052^2 + 315541^2 .

It is a cyclic number.

It is not a de Polignac number, because 100193725385 - 2¹⁴ = 100193709001 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148779 + ... + 2194911.

It is an arithmetic number, because the mean of its divisors is an integer number (8092987749).

Almost surely, 2^100193725385 is an apocalyptic number.

It is an amenable number.

100193725385 is a deficient number, since it is larger than the sum of its proper divisors (29294078599).

100193725385 is a wasteful number, since it uses less digits than its factorization.

100193725385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79564.

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 100193725385 in words is "one hundred billion, one hundred ninety-three million, seven hundred twenty-five thousand, three hundred eighty-five".