100015820625681 has 45 divisors (see below), whose sum is σ = 156187942058379. Its totient is φ = 63776884352544.

The previous prime is 100015820625667. The next prime is 100015820625751. The reversal of 100015820625681 is 186526028510001.

The square root of 100015820625681 is 10000791.

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

100015820625681 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 5 + 8 + 20 + 62 + 568 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27677121419025 + 72338699206656 = 5260905^2 + 8505216^2 .

It is not a de Polignac number, because 100015820625681 - 2⁵ = 100015820625649 is a prime.

It is a super-2 number, since 2×100015820625681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100015820625631) 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, 2070139581 + ... + 2070187893.

Almost surely, 2^{100015820625681} is an apocalyptic number.

100015820625681 is the 10000791-st square number.

100015820625681 is the 5000396-th centered octagonal number.

It is an amenable number.

100015820625681 is a deficient number, since it is larger than the sum of its proper divisors (56172121432698).

100015820625681 is an frugal number, since it uses more digits than its factorization.

100015820625681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96684 (or 48339 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 100015820625681 in words is "one hundred trillion, fifteen billion, eight hundred twenty million, six hundred twenty-five thousand, six hundred eighty-one".