10126564 has 12 divisors (see below), whose sum is σ = 20253184. Its totient is φ = 4339944.

The previous prime is 10126561. The next prime is 10126591. The reversal of 10126564 is 46562101.

10126564 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10126561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180804 + ... + 180859.

Almost surely, 2^10126564 is an apocalyptic number.

10126564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10126564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10126564 is a wasteful number, since it uses less digits than its factorization.

10126564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361674 (or 361672 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10126564 is about 3182.2262647398. The cubic root of 10126564 is about 216.3485741248.

Subtracting from 10126564 its product of nonzero digits (1440), we obtain a square (10125124 = 3182²).

Adding to 10126564 its reverse (46562101), we get a palindrome (56688665).

The spelling of 10126564 in words is "ten million, one hundred twenty-six thousand, five hundred sixty-four".