100506118729 has 9 divisors (see below), whose sum is σ = 101819824743. Its totient is φ = 99209161272.

The previous prime is 100506118721. The next prime is 100506118733. The reversal of 100506118729 is 927811605001.

It is a happy number.

The square root of 100506118729 is 317027.

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., 84288605625 + 16217513104 = 290325^2 + 127348^2 .

It is not a de Polignac number, because 100506118729 - 2³ = 100506118721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100506118691 and 100506118700.

It is not an unprimeable number, because it can be changed into a prime (100506118721) 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, 25043127 + ... + 25047139.

Almost surely, 2^100506118729 is an apocalyptic number.

100506118729 is the 317027-th square number.

100506118729 is the 158514-th centered octagonal number.

It is an amenable number.

100506118729 is a deficient number, since it is larger than the sum of its proper divisors (1313706014).

100506118729 is an frugal number, since it uses more digits than its factorization.

100506118729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 100506118729 in words is "one hundred billion, five hundred six million, one hundred eighteen thousand, seven hundred twenty-nine".