102167361 has 6 divisors (see below), whose sum is σ = 147575090. Its totient is φ = 68111568.

The previous prime is 102167353. The next prime is 102167381. The reversal of 102167361 is 163761201.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 48233025 = 7344^2 + 6945^2 .

It is not a de Polignac number, because 102167361 - 2³ = 102167353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102167341) 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 5 ways as a sum of consecutive naturals, for example, 5675956 + ... + 5675973.

Almost surely, 2^102167361 is an apocalyptic number.

It is an amenable number.

102167361 is a deficient number, since it is larger than the sum of its proper divisors (45407729).

102167361 is a wasteful number, since it uses less digits than its factorization.

102167361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11351935 (or 11351932 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102167361 is about 10107.7871465519. The cubic root of 102167361 is about 467.4882775140.

The spelling of 102167361 in words is "one hundred two million, one hundred sixty-seven thousand, three hundred sixty-one".