10045984 has 96 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 4147200.

The previous prime is 10045979. The next prime is 10045993. The reversal of 10045984 is 48954001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245004 + ... + 245044.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^10045984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

10045984 is an abundant number, since it is smaller than the sum of its proper divisors (13662176).

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

10045984 is a wasteful number, since it uses less digits than its factorization.

10045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10045984 is about 3169.5400297204. The cubic root of 10045984 is about 215.7731958624.

Adding to 10045984 its reverse (48954001), we get a palindrome (58999985).

The spelling of 10045984 in words is "ten million, forty-five thousand, nine hundred eighty-four".