10126641 has 16 divisors (see below), whose sum is σ = 15849344. Its totient is φ = 5629824.

The previous prime is 10126621. The next prime is 10126673. The reversal of 10126641 is 14662101.

It is not a de Polignac number, because 10126641 - 2¹⁰ = 10125617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10126621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5740 + ... + 7293.

It is an arithmetic number, because the mean of its divisors is an integer number (990584).

Almost surely, 2^10126641 is an apocalyptic number.

It is an amenable number.

10126641 is a deficient number, since it is larger than the sum of its proper divisors (5722703).

10126641 is a wasteful number, since it uses less digits than its factorization.

10126641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13080.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10126641 is about 3182.2383631651. The cubic root of 10126641 is about 216.3491224779.

Adding to 10126641 its reverse (14662101), we get a palindrome (24788742).

The spelling of 10126641 in words is "ten million, one hundred twenty-six thousand, six hundred forty-one".