102563265 has 64 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 45239040.

The previous prime is 102563257. The next prime is 102563281. The reversal of 102563265 is 562365201.

It is not a de Polignac number, because 102563265 - 2³ = 102563257 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429016 + ... + 429254.

It is an arithmetic number, because the mean of its divisors is an integer number (3035520).

Almost surely, 2^102563265 is an apocalyptic number.

102563265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102563265 is a deficient number, since it is larger than the sum of its proper divisors (91710015).

102563265 is a wasteful number, since it uses less digits than its factorization.

102563265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 102563265 is about 10127.3523193380. The cubic root of 102563265 is about 468.0913465860.

The spelling of 102563265 in words is "one hundred two million, five hundred sixty-three thousand, two hundred sixty-five".