100364140809 has 9 divisors (see below), whose sum is σ = 144971798439. Its totient is φ = 66908793600.

The previous prime is 100364140777. The next prime is 100364140829. The reversal of 100364140809 is 908041463001.

The square root of 100364140809 is 316803.

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

100364140809 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 641 + 4 + 0 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98002180809 + 2361960000 = 313053^2 + 48600^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 100364140809 - 2⁵ = 100364140777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100364140829) 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 8 ways as a sum of consecutive naturals, for example, 897609 + ... + 1003209.

Almost surely, 2^100364140809 is an apocalyptic number.

100364140809 is the 316803-rd square number.

100364140809 is the 158402-nd centered octagonal number.

It is an amenable number.

100364140809 is a deficient number, since it is larger than the sum of its proper divisors (44607657630).

100364140809 is an frugal number, since it uses more digits than its factorization.

100364140809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211208 (or 105604 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 100364140809 by its sum of digits (36), we get a square (3613109069124 = 1900818²).

The spelling of 100364140809 in words is "one hundred billion, three hundred sixty-four million, one hundred forty thousand, eight hundred nine".