10146416 has 60 divisors (see below), whose sum is σ = 24118992. Its totient is φ = 4036608.

The previous prime is 10146403. The next prime is 10146443. The reversal of 10146416 is 61464101.

It is a junction number, because it is equal to n+sod(n) for n = 10146391 and 10146400.

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 11 ways as a sum of consecutive naturals, for example, 138956 + ... + 139028.

Almost surely, 2^10146416 is an apocalyptic number.

10146416 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 10146416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059496).

10146416 is an abundant number, since it is smaller than the sum of its proper divisors (13972576).

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

10146416 is an equidigital number, since it uses as much as digits as its factorization.

10146416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10146416 is about 3185.3439374736. The cubic root of 10146416 is about 216.4898575965.

The spelling of 10146416 in words is "ten million, one hundred forty-six thousand, four hundred sixteen".