102005263 has 8 divisors (see below), whose sum is σ = 105091280. Its totient is φ = 98936640.

The previous prime is 102005261. The next prime is 102005279. The reversal of 102005263 is 362500201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102005263 - 2¹ = 102005261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102005263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005261) 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 7 ways as a sum of consecutive naturals, for example, 8083 + ... + 16411.

It is an arithmetic number, because the mean of its divisors is an integer number (13136410).

Almost surely, 2^102005263 is an apocalyptic number.

102005263 is a deficient number, since it is larger than the sum of its proper divisors (3086017).

102005263 is an equidigital number, since it uses as much as digits as its factorization.

102005263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 102005263 is about 10099.7654923270. The cubic root of 102005263 is about 467.2409087973.

Adding to 102005263 its reverse (362500201), we get a palindrome (464505464).

The spelling of 102005263 in words is "one hundred two million, five thousand, two hundred sixty-three".