10045776 has 80 divisors (see below), whose sum is σ = 29623104. Its totient is φ = 2906112.

The previous prime is 10045771. The next prime is 10045787. The reversal of 10045776 is 67754001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045771) 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, 10135 + ... + 11081.

Almost surely, 2^10045776 is an apocalyptic number.

10045776 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 10045776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811552).

10045776 is an abundant number, since it is smaller than the sum of its proper divisors (19577328).

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

10045776 is a wasteful number, since it uses less digits than its factorization.

10045776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10045776 is about 3169.5072172185. The cubic root of 10045776 is about 215.7717066725.

Adding to 10045776 its reverse (67754001), we get a palindrome (77799777).

The spelling of 10045776 in words is "ten million, forty-five thousand, seven hundred seventy-six".