10137216 has 32 divisors (see below), whose sum is σ = 26928000. Its totient is φ = 3378944.

The previous prime is 10137199. The next prime is 10137221. The reversal of 10137216 is 61273101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10137192 and 10137201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12816 + ... + 13583.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 2^10137216 is an apocalyptic number.

10137216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10137216 is an abundant number, since it is smaller than the sum of its proper divisors (16790784).

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

10137216 is an equidigital number, since it uses as much as digits as its factorization.

10137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26416 (or 26404 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10137216 is about 3183.8994959012. The cubic root of 10137216 is about 216.4244056192.

The spelling of 10137216 in words is "ten million, one hundred thirty-seven thousand, two hundred sixteen".