102668131 has 2 divisors, whose sum is σ = 102668132. Its totient is φ = 102668130.

The previous prime is 102668101. The next prime is 102668161. The reversal of 102668131 is 131866201.

It is a balanced prime because it is at equal distance from previous prime (102668101) and next prime (102668161).

It is a cyclic number.

It is not a de Polignac number, because 102668131 - 2¹³ = 102659939 is a prime.

It is a super-4 number, since 4×102668131⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is equal to p_5906323 and since 102668131 and 5906323 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102668131.

It is not a weakly prime, because it can be changed into another prime (102668101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51334065 + 51334066.

It is an arithmetic number, because the mean of its divisors is an integer number (51334066).

Almost surely, 2^102668131 is an apocalyptic number.

102668131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102668131 is an equidigital number, since it uses as much as digits as its factorization.

102668131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 102668131 is about 10132.5283616677. The cubic root of 102668131 is about 468.2508258661.

The spelling of 102668131 in words is "one hundred two million, six hundred sixty-eight thousand, one hundred thirty-one".