100008540182329 has 9 divisors (see below), whose sum is σ = 100073254785231. Its totient is φ = 99943867420920.

The previous prime is 100008540182321. The next prime is 100008540182351. The reversal of 100008540182329 is 923281045800001.

The square root of 100008540182329 is 10000427.

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

It can be written as a sum of positive squares in only one way, i.e., 42914618355625 + 57093921826704 = 6550925^2 + 7556052^2 .

It is not a de Polignac number, because 100008540182329 - 2³ = 100008540182321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100008540182321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25571089884 + ... + 25571093794.

Almost surely, 2^{100008540182329} is an apocalyptic number.

100008540182329 is the 10000427-th square number.

100008540182329 is the 5000214-th centered octagonal number.

It is an amenable number.

100008540182329 is a deficient number, since it is larger than the sum of its proper divisors (64714602902).

100008540182329 is an frugal number, since it uses more digits than its factorization.

100008540182329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 100008540182329 in words is "one hundred trillion, eight billion, five hundred forty million, one hundred eighty-two thousand, three hundred twenty-nine".