100341661722625 has 16 divisors (see below), whose sum is σ = 125226738421200. Its totient is φ = 80273108486400.

The previous prime is 100341661722613. The next prime is 100341661722661. The reversal of 100341661722625 is 526227166143001.

It can be written as a sum of positive squares in 8 ways, for example, as 64784662427664 + 35556999294961 = 8048892^2 + 5962969^2 .

It is not a de Polignac number, because 100341661722625 - 2¹⁷ = 100341661591553 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56453481 + ... + 58203769.

It is an arithmetic number, because the mean of its divisors is an integer number (7826671151325).

Almost surely, 2^{100341661722625} is an apocalyptic number.

It is an amenable number.

100341661722625 is a deficient number, since it is larger than the sum of its proper divisors (24885076698575).

100341661722625 is an equidigital number, since it uses as much as digits as its factorization.

100341661722625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208933 (or 2208923 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 100341661722625 in words is "one hundred trillion, three hundred forty-one billion, six hundred sixty-one million, seven hundred twenty-two thousand, six hundred twenty-five".