10105264 has 40 divisors (see below), whose sum is σ = 22203440. Its totient is φ = 4416768.

The previous prime is 10105261. The next prime is 10105267. The reversal of 10105264 is 46250101.

It is an interprime number because it is at equal distance from previous prime (10105261) and next prime (10105267).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (10105261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2674 + ... + 5230.

It is an arithmetic number, because the mean of its divisors is an integer number (555086).

Almost surely, 2^10105264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101720).

10105264 is an abundant number, since it is smaller than the sum of its proper divisors (12098176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105264 is a wasteful number, since it uses less digits than its factorization.

10105264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10105264 is about 3178.8777894093. The cubic root of 10105264 is about 216.1967799804.

Adding to 10105264 its reverse (46250101), we get a palindrome (56355365).

The spelling of 10105264 in words is "ten million, one hundred five thousand, two hundred sixty-four".