102563105 has 8 divisors (see below), whose sum is σ = 123605352. Its totient is φ = 81697408.

The previous prime is 102563081. The next prime is 102563117. The reversal of 102563105 is 501365201.

It can be written as a sum of positive squares in 4 ways, for example, as 8162449 + 94400656 = 2857^2 + 9716^2 .

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 102563105 - 2¹⁶ = 102497569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42854 + ... + 45183.

It is an arithmetic number, because the mean of its divisors is an integer number (15450669).

Almost surely, 2^102563105 is an apocalyptic number.

It is an amenable number.

102563105 is a deficient number, since it is larger than the sum of its proper divisors (21042247).

102563105 is an equidigital number, since it uses as much as digits as its factorization.

102563105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88275.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 102563105 is about 10127.3444199356. The cubic root of 102563105 is about 468.0911031764.

The spelling of 102563105 in words is "one hundred two million, five hundred sixty-three thousand, one hundred five".