103892116329 has 9 divisors (see below), whose sum is σ = 150067786999. Its totient is φ = 69260766240.

The previous prime is 103892116319. The next prime is 103892116373. The reversal of 103892116329 is 923611298301.

It is a happy number.

The square root of 103892116329 is 322323.

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

103892116329 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 2 + 1 + 1 + 632 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85308973929 + 18583142400 = 292077^2 + 136320^2 .

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

It is not a de Polignac number, because 103892116329 - 2⁵ = 103892116297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103892116319) 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, 913249 + ... + 1020689.

Almost surely, 2^103892116329 is an apocalyptic number.

103892116329 is the 322323-rd square number.

103892116329 is the 161162-nd centered octagonal number.

It is an amenable number.

103892116329 is a deficient number, since it is larger than the sum of its proper divisors (46175670670).

103892116329 is an frugal number, since it uses more digits than its factorization.

103892116329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214888 (or 107444 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 103892116329 in words is "one hundred three billion, eight hundred ninety-two million, one hundred sixteen thousand, three hundred twenty-nine".