10010064 has 40 divisors (see below), whose sum is σ = 26114400. Its totient is φ = 3303808.

The previous prime is 10010029. The next prime is 10010069. The reversal of 10010064 is 46001001.

10010064 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4162 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^10010064 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 10010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057200).

10010064 is an abundant number, since it is smaller than the sum of its proper divisors (16104336).

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

10010064 is a wasteful number, since it uses less digits than its factorization.

10010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10010064 is about 3163.8685181278. The cubic root of 10010064 is about 215.5157188736.

Adding to 10010064 its reverse (46001001), we get a palindrome (56011065).

The spelling of 10010064 in words is "ten million, ten thousand, sixty-four".