102372961 has 2 divisors, whose sum is σ = 102372962. Its totient is φ = 102372960.

The previous prime is 102372917. The next prime is 102372971. The reversal of 102372961 is 169273201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85100625 + 17272336 = 9225^2 + 4156^2 .

It is an emirp because it is prime and its reverse (169273201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102372961 - 2¹⁷ = 102241889 is a prime.

It is equal to p_5890324 and since 102372961 and 5890324 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (102372901) 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, 51186480 + 51186481.

It is an arithmetic number, because the mean of its divisors is an integer number (51186481).

Almost surely, 2^102372961 is an apocalyptic number.

It is an amenable number.

102372961 is a deficient number, since it is larger than the sum of its proper divisors (1).

102372961 is an equidigital number, since it uses as much as digits as its factorization.

102372961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 102372961 is about 10117.9524114319. The cubic root of 102372961 is about 467.8016560956.

It can be divided in two parts, 1023 and 72961, that added together give a square (73984 = 272²).

The spelling of 102372961 in words is "one hundred two million, three hundred seventy-two thousand, nine hundred sixty-one".