100378080625 has 135 divisors (see below), whose sum is σ = 143324123943. Its totient is φ = 70259112000.

The previous prime is 100378080623. The next prime is 100378080653. The reversal of 100378080625 is 526080873001.

The square root of 100378080625 is 316825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 75075452001 + 25302628624 = 273999^2 + 159068^2 .

It is not a de Polignac number, because 100378080625 - 2¹ = 100378080623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100378080623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3461313111 + ... + 3461313139.

Almost surely, 2^100378080625 is an apocalyptic number.

100378080625 is the 316825-th square number.

100378080625 is the 158413-rd centered octagonal number.

It is an amenable number.

100378080625 is a deficient number, since it is larger than the sum of its proper divisors (42946043318).

100378080625 is an frugal number, since it uses more digits than its factorization.

100378080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 100378080625 in words is "one hundred billion, three hundred seventy-eight million, eighty thousand, six hundred twenty-five".