10213776 has 120 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 3265920.

The previous prime is 10213769. The next prime is 10213781. The reversal of 10213776 is 67731201.

10213776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143821 + ... + 143891.

Almost surely, 2^10213776 is an apocalyptic number.

10213776 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 10213776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

10213776 is an abundant number, since it is smaller than the sum of its proper divisors (20659248).

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

10213776 is an equidigital number, since it uses as much as digits as its factorization.

10213776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10213776 is about 3195.8998732751. The cubic root of 10213776 is about 216.9678787569.

Adding to 10213776 its reverse (67731201), we get a palindrome (77944977).

The spelling of 10213776 in words is "ten million, two hundred thirteen thousand, seven hundred seventy-six".