100844168525 has 12 divisors (see below), whose sum is σ = 125095074132. Its totient is φ = 80644170240.

The previous prime is 100844168519. The next prime is 100844168539. The reversal of 100844168525 is 525861448001.

It can be written as a sum of positive squares in 6 ways, for example, as 3895382569 + 96948785956 = 62413^2 + 311366^2 .

It is not a de Polignac number, because 100844168525 - 2⁶ = 100844168461 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712994 + ... + 842643.

It is an arithmetic number, because the mean of its divisors is an integer number (10424589511).

Almost surely, 2^100844168525 is an apocalyptic number.

It is an amenable number.

100844168525 is a deficient number, since it is larger than the sum of its proper divisors (24250905607).

100844168525 is a wasteful number, since it uses less digits than its factorization.

100844168525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558240 (or 1558235 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 100844168525 in words is "one hundred billion, eight hundred forty-four million, one hundred sixty-eight thousand, five hundred twenty-five".