180107977 has 12 divisors (see below), whose sum is σ = 209806740. Its totient is φ = 154162176.

The previous prime is 180107969. The next prime is 180107981. The reversal of 180107977 is 779701081.

It can be written as a sum of positive squares in 2 ways, for example, as 168246841 + 11861136 = 12971^2 + 3444^2 .

It is not a de Polignac number, because 180107977 - 2³ = 180107969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180107987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39849 + ... + 44137.

It is an arithmetic number, because the mean of its divisors is an integer number (17483895).

Almost surely, 2^180107977 is an apocalyptic number.

It is an amenable number.

180107977 is a deficient number, since it is larger than the sum of its proper divisors (29698763).

180107977 is an equidigital number, since it uses as much as digits as its factorization.

180107977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 40.

The square root of 180107977 is about 13420.4313268986. The cubic root of 180107977 is about 564.7344950357.

The spelling of 180107977 in words is "one hundred eighty million, one hundred seven thousand, nine hundred seventy-seven".