100231127649 has 45 divisors (see below), whose sum is σ = 155196994953. Its totient is φ = 64463400288.

The previous prime is 100231127573. The next prime is 100231127657. The reversal of 100231127649 is 946721132001.

The square root of 100231127649 is 316593.

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

100231127649 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 1 + 1 + 2 + 7 + 649 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28067976225 + 72163151424 = 167535^2 + 268632^2 .

It is not a de Polignac number, because 100231127649 - 2⁹ = 100231127137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100231127669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82630167 + ... + 82631379.

Almost surely, 2^100231127649 is an apocalyptic number.

100231127649 is the 316593-rd square number.

100231127649 is the 158297-th centered octagonal number.

It is an amenable number.

100231127649 is a deficient number, since it is larger than the sum of its proper divisors (54965867304).

100231127649 is an frugal number, since it uses more digits than its factorization.

100231127649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 100231127649 by its sum of digits (36), we get a square (3608320595364 = 1899558²).

The spelling of 100231127649 in words is "one hundred billion, two hundred thirty-one million, one hundred twenty-seven thousand, six hundred forty-nine".