100485126947529 has 135 divisors (see below), whose sum is σ = 157060923632613. Its totient is φ = 64021610290176.

The previous prime is 100485126947483. The next prime is 100485126947567. The reversal of 100485126947529 is 925749621584001.

The square root of 100485126947529 is 10024227.

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

100485126947529 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 8 + 5 + 1 + 2 + 69 + 47 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5976631431225 + 94508495516304 = 2444715^2 + 9721548^2 .

It is not a de Polignac number, because 100485126947529 - 2¹⁵ = 100485126914761 is a prime.

It is a super-2 number, since 2×100485126947529² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100485126947629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 504950386572 + ... + 504950386770.

Almost surely, 2^{100485126947529} is an apocalyptic number.

100485126947529 is the 10024227-th square number.

100485126947529 is the 5012114-th centered octagonal number.

It is an amenable number.

100485126947529 is a deficient number, since it is larger than the sum of its proper divisors (56575796685084).

100485126947529 is an frugal number, since it uses more digits than its factorization.

100485126947529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 100485126947529 in words is "one hundred trillion, four hundred eighty-five billion, one hundred twenty-six million, nine hundred forty-seven thousand, five hundred twenty-nine".