100080636248961 has 15 divisors (see below), whose sum is σ = 149503307166961. Its totient is φ = 66720364141788.

The previous prime is 100080636248909. The next prime is 100080636248969. The reversal of 100080636248961 is 169842636080001.

The square root of 100080636248961 is 10004031.

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

100080636248961 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 0 + 6 + 3 + 624 + 8 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 100080636248961 - 2¹⁵ = 100080636216193 is a prime.

It is a super-2 number, since 2×100080636248961² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100080636248898 and 100080636248907.

It is not an unprimeable number, because it can be changed into a prime (100080636248969) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 89480500 + ... + 90592058.

Almost surely, 2^{100080636248961} is an apocalyptic number.

100080636248961 is the 10004031-st square number.

100080636248961 is the 5002016-th centered octagonal number.

It is an amenable number.

100080636248961 is a deficient number, since it is larger than the sum of its proper divisors (49422670918000).

100080636248961 is an frugal number, since it uses more digits than its factorization.

100080636248961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223130 (or 1111562 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 10008063 and 6248961, that added together give a square (16257024 = 4032²).

The spelling of 100080636248961 in words is "one hundred trillion, eighty billion, six hundred thirty-six million, two hundred forty-eight thousand, nine hundred sixty-one".