10045364 has 48 divisors (see below), whose sum is σ = 21159936. Its totient is φ = 4082400.

The previous prime is 10045363. The next prime is 10045367. The reversal of 10045364 is 46354001.

It is a happy number.

10045364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045363) 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, 61547 + ... + 61709.

It is an arithmetic number, because the mean of its divisors is an integer number (440832).

Almost surely, 2^10045364 is an apocalyptic number.

10045364 is a gapful number since it is divisible by the number (14) 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 10045364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579968).

10045364 is an abundant number, since it is smaller than the sum of its proper divisors (11114572).

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

10045364 is a wasteful number, since it uses less digits than its factorization.

10045364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 10045364 is about 3169.4422222214. The cubic root of 10045364 is about 215.7687568702.

Adding to 10045364 its reverse (46354001), we get a palindrome (56399365).

The spelling of 10045364 in words is "ten million, forty-five thousand, three hundred sixty-four".