10145260 has 48 divisors (see below), whose sum is σ = 23024736. Its totient is φ = 3740672.

The previous prime is 10145251. The next prime is 10145281. The reversal of 10145260 is 6254101.

10145260 is a nontrivial binomial coefficient, being equal to C(4505, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17739 + ... + 18301.

It is an arithmetic number, because the mean of its divisors is an integer number (479682).

Almost surely, 2^10145260 is an apocalyptic number.

10145260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145260 is the 4504-th triangular number.

10145260 is the 1502-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512368).

10145260 is an abundant number, since it is smaller than the sum of its proper divisors (12879476).

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

10145260 is a wasteful number, since it uses less digits than its factorization.

10145260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

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

The square root of 10145260 is about 3185.1624762326. The cubic root of 10145260 is about 216.4816355872.

Adding to 10145260 its reverse (6254101), we get a palindrome (16399361).

The spelling of 10145260 in words is "ten million, one hundred forty-five thousand, two hundred sixty".