10131264 has 224 divisors, whose sum is σ = 35844480. Its totient is φ = 2764800.

The previous prime is 10131263. The next prime is 10131281. The reversal of 10131264 is 46213101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247084 + ... + 247124.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^10131264 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 10131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

10131264 is an abundant number, since it is smaller than the sum of its proper divisors (25713216).

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

10131264 is a wasteful number, since it uses less digits than its factorization.

10131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10131264 is about 3182.9646557887. The cubic root of 10131264 is about 216.3820399357.

Adding to 10131264 its reverse (46213101), we get a palindrome (56344365).

It can be divided in two parts, 1013126 and 4, that multiplied together give a palindrome (4052504).

The spelling of 10131264 in words is "ten million, one hundred thirty-one thousand, two hundred sixty-four".