10137416 has 16 divisors (see below), whose sum is σ = 19367100. Its totient is φ = 4972864.

The previous prime is 10137349. The next prime is 10137419. The reversal of 10137416 is 61473101.

10137416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9897316 + 240100 = 3146^2 + 490^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10137391 and 10137400.

It is not an unprimeable number, because it can be changed into a prime (10137419) 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, 11531 + ... + 12378.

Almost surely, 2^10137416 is an apocalyptic number.

It is an amenable number.

10137416 is a deficient number, since it is larger than the sum of its proper divisors (9229684).

10137416 is a wasteful number, since it uses less digits than its factorization.

10137416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23968 (or 23964 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 10137416 is about 3183.9309037729. The cubic root of 10137416 is about 216.4258289093.

The spelling of 10137416 in words is "ten million, one hundred thirty-seven thousand, four hundred sixteen".