10105263 has 32 divisors (see below), whose sum is σ = 17285120. Its totient is φ = 5715360.

The previous prime is 10105261. The next prime is 10105267. The reversal of 10105263 is 36250101.

It is not a de Polignac number, because 10105263 - 2¹ = 10105261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105261) 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 31 ways as a sum of consecutive naturals, for example, 23793 + ... + 24213.

It is an arithmetic number, because the mean of its divisors is an integer number (540160).

Almost surely, 2^10105263 is an apocalyptic number.

10105263 is a deficient number, since it is larger than the sum of its proper divisors (7179857).

10105263 is a wasteful number, since it uses less digits than its factorization.

10105263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10105263 is about 3178.8776321211. The cubic root of 10105263 is about 216.1967728489.

Adding to 10105263 its reverse (36250101), we get a palindrome (46355364).

The spelling of 10105263 in words is "ten million, one hundred five thousand, two hundred sixty-three".