102180937 has 2 divisors, whose sum is σ = 102180938. Its totient is φ = 102180936.

The previous prime is 102180919. The next prime is 102180941. The reversal of 102180937 is 739081201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99121936 + 3059001 = 9956^2 + 1749^2 .

It is an emirp because it is prime and its reverse (739081201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102180937 - 2⁷ = 102180809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102180899 and 102180908.

It is not a weakly prime, because it can be changed into another prime (102180977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51090468 + 51090469.

It is an arithmetic number, because the mean of its divisors is an integer number (51090469).

Almost surely, 2^102180937 is an apocalyptic number.

It is an amenable number.

102180937 is a deficient number, since it is larger than the sum of its proper divisors (1).

102180937 is an equidigital number, since it uses as much as digits as its factorization.

102180937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 102180937 is about 10108.4586856751. The cubic root of 102180937 is about 467.5089832127.

The spelling of 102180937 in words is "one hundred two million, one hundred eighty thousand, nine hundred thirty-seven".