108177183409 has 9 divisors (see below), whose sum is σ = 109838241387. Its totient is φ = 106540890984.

The previous prime is 108177183341. The next prime is 108177183437. The reversal of 108177183409 is 904381771801.

The square root of 108177183409 is 328903.

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., 107385323809 + 791859600 = 327697^2 + 28140^2 .

It is not a de Polignac number, because 108177183409 - 2⁷ = 108177183281 is a prime.

It is a super-2 number, since 2×108177183409² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108177183209) 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, 22034047 + ... + 22038955.

It is an arithmetic number, because the mean of its divisors is an integer number (12204249043).

Almost surely, 2^108177183409 is an apocalyptic number.

108177183409 is the 328903-rd square number.

108177183409 is the 164452-nd centered octagonal number.

It is an amenable number.

108177183409 is a deficient number, since it is larger than the sum of its proper divisors (1661057978).

108177183409 is an frugal number, since it uses more digits than its factorization.

108177183409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 49.

Multiplying 108177183409 by its sum of digits (49), we get a square (5300681987041 = 2302321²).

The spelling of 108177183409 in words is "one hundred eight billion, one hundred seventy-seven million, one hundred eighty-three thousand, four hundred nine".