102906589 has 2 divisors, whose sum is σ = 102906590. Its totient is φ = 102906588.

The previous prime is 102906553. The next prime is 102906607. The reversal of 102906589 is 985609201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59938564 + 42968025 = 7742^2 + 6555^2 .

It is an emirp because it is prime and its reverse (985609201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102906589 - 2²³ = 94517981 is a prime.

It is a super-2 number, since 2×102906589² = 21179532119229842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102906689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51453294 + 51453295.

It is an arithmetic number, because the mean of its divisors is an integer number (51453295).

Almost surely, 2^102906589 is an apocalyptic number.

It is an amenable number.

102906589 is a deficient number, since it is larger than the sum of its proper divisors (1).

102906589 is an equidigital number, since it uses as much as digits as its factorization.

102906589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 102906589 is about 10144.2884915602. The cubic root of 102906589 is about 468.6130668706.

The spelling of 102906589 in words is "one hundred two million, nine hundred six thousand, five hundred eighty-nine".