10013416 has 32 divisors (see below), whose sum is σ = 21608640. Its totient is φ = 4261248.

The previous prime is 10013401. The next prime is 10013429. The reversal of 10013416 is 61431001.

It is a self number, because there is not a number n which added to its sum of digits gives 10013416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8580 + ... + 9676.

It is an arithmetic number, because the mean of its divisors is an integer number (675270).

Almost surely, 2^10013416 is an apocalyptic number.

It is an amenable number.

10013416 is an abundant number, since it is smaller than the sum of its proper divisors (11595224).

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

10013416 is a wasteful number, since it uses less digits than its factorization.

10013416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10013416 is about 3164.3982050305. The cubic root of 10013416 is about 215.5397722685.

Adding to 10013416 its reverse (61431001), we get a palindrome (71444417).

The spelling of 10013416 in words is "ten million, thirteen thousand, four hundred sixteen".