10166016 has 144 divisors (see below), whose sum is σ = 32442368. Its totient is φ = 2764800.

The previous prime is 10166011. The next prime is 10166029. The reversal of 10166016 is 61066101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10165983 and 10166001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166011) 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, 166626 + ... + 166686.

Almost surely, 2^10166016 is an apocalyptic number.

10166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221184).

10166016 is an abundant number, since it is smaller than the sum of its proper divisors (22276352).

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

10166016 is an equidigital number, since it uses as much as digits as its factorization.

10166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10166016 is about 3188.4190439778. The cubic root of 10166016 is about 216.6291669486.

The spelling of 10166016 in words is "ten million, one hundred sixty-six thousand, sixteen".