100757360929 has 27 divisors (see below), whose sum is σ = 108543238713. Its totient is φ = 93520433952.

The previous prime is 100757360917. The next prime is 100757360983. The reversal of 100757360929 is 929063757001.

The square root of 100757360929 is 317423.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23050223329 + 77707137600 = 151823^2 + 278760^2 .

It is not a de Polignac number, because 100757360929 - 2¹¹ = 100757358881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100757360909) 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 26 ways as a sum of consecutive naturals, for example, 270126787 + ... + 270127159.

Almost surely, 2^100757360929 is an apocalyptic number.

100757360929 is the 317423-rd square number.

100757360929 is the 158712-nd centered octagonal number.

It is an amenable number.

100757360929 is a deficient number, since it is larger than the sum of its proper divisors (7785877784).

100757360929 is an frugal number, since it uses more digits than its factorization.

100757360929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

Multiplying 100757360929 by its sum of digits (49), we get a square (4937110685521 = 2221961²).

The spelling of 100757360929 in words is "one hundred billion, seven hundred fifty-seven million, three hundred sixty thousand, nine hundred twenty-nine".