102563731 has 2 divisors, whose sum is σ = 102563732. Its totient is φ = 102563730.

The previous prime is 102563719. The next prime is 102563863. The reversal of 102563731 is 137365201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102563731 - 2⁷ = 102563603 is a prime.

It is a super-2 number, since 2×102563731² = 21038637833280722, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102563731.

It is not a weakly prime, because it can be changed into another prime (102563701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51281865 + 51281866.

It is an arithmetic number, because the mean of its divisors is an integer number (51281866).

Almost surely, 2^102563731 is an apocalyptic number.

102563731 is a deficient number, since it is larger than the sum of its proper divisors (1).

102563731 is an equidigital number, since it uses as much as digits as its factorization.

102563731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 102563731 is about 10127.3753263123. The cubic root of 102563731 is about 468.0920555151.

The spelling of 102563731 in words is "one hundred two million, five hundred sixty-three thousand, seven hundred thirty-one".