100258667055625 has 45 divisors (see below), whose sum is σ = 135666126265593. Its totient is φ = 74034766416000.

The previous prime is 100258667055493. The next prime is 100258667055629. The reversal of 100258667055625 is 526550766852001.

The square root of 100258667055625 is 10012925.

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

It can be written as a sum of positive squares in 22 ways, for example, as 92033265999609 + 8225401056016 = 9593397^2 + 2867996^2 .

It is not a de Polignac number, because 100258667055625 - 2¹¹ = 100258667053577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100258667055625.

It is not an unprimeable number, because it can be changed into a prime (100258667055629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3254185221 + ... + 3254216029.

Almost surely, 2^{100258667055625} is an apocalyptic number.

100258667055625 is the 10012925-th square number.

100258667055625 is the 5006463-rd centered octagonal number.

It is an amenable number.

100258667055625 is a deficient number, since it is larger than the sum of its proper divisors (35407459209968).

100258667055625 is an frugal number, since it uses more digits than its factorization.

100258667055625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61664 (or 30827 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 58.

The spelling of 100258667055625 in words is "one hundred trillion, two hundred fifty-eight billion, six hundred sixty-seven million, fifty-five thousand, six hundred twenty-five".