180820107 has 20 divisors (see below), whose sum is σ = 290893680. Its totient is φ = 111273264.

The previous prime is 180820103. The next prime is 180820111. The reversal of 180820107 is 701028081.

It is an interprime number because it is at equal distance from previous prime (180820103) and next prime (180820111).

It is not a de Polignac number, because 180820107 - 2² = 180820103 is a prime.

It is a super-2 number, since 2×180820107² = 65391822190982898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (180820103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84807 + ... + 86912.

It is an arithmetic number, because the mean of its divisors is an integer number (14544684).

Almost surely, 2^180820107 is an apocalyptic number.

180820107 is a deficient number, since it is larger than the sum of its proper divisors (110073573).

180820107 is a wasteful number, since it uses less digits than its factorization.

180820107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171744 (or 171735 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 180820107 is about 13446.9367143599. The cubic root of 180820107 is about 565.4778185757.

Adding to 180820107 its reverse (701028081), we get a palindrome (881848188).

The spelling of 180820107 in words is "one hundred eighty million, eight hundred twenty thousand, one hundred seven".