10742121 has 12 divisors (see below), whose sum is σ = 16710148. Its totient is φ = 6610464.

The previous prime is 10742111. The next prime is 10742129. The reversal of 10742121 is 12124701.

It can be written as a sum of positive squares in 2 ways, for example, as 7371225 + 3370896 = 2715^2 + 1836^2 .

It is not a de Polignac number, because 10742121 - 2⁷ = 10741993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10742094 and 10742103.

It is not an unprimeable number, because it can be changed into a prime (10742129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45790 + ... + 46023.

Almost surely, 2^10742121 is an apocalyptic number.

It is an amenable number.

10742121 is a deficient number, since it is larger than the sum of its proper divisors (5968027).

10742121 is a wasteful number, since it uses less digits than its factorization.

10742121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91832 (or 91829 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10742121 is about 3277.5175056741. The cubic root of 10742121 is about 220.6463156490.

Adding to 10742121 its reverse (12124701), we get a palindrome (22866822).

The spelling of 10742121 in words is "ten million, seven hundred forty-two thousand, one hundred twenty-one".