10001064 has 32 divisors (see below), whose sum is σ = 25201440. Its totient is φ = 3307200.

The previous prime is 10001053. The next prime is 10001081. The reversal of 10001064 is 46010001.

It is a super-2 number, since 2×10001064² = 200042562264192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554 + ... + 4734.

It is an arithmetic number, because the mean of its divisors is an integer number (787545).

Almost surely, 2^10001064 is an apocalyptic number.

It is an amenable number.

10001064 is an abundant number, since it is smaller than the sum of its proper divisors (15200376).

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

10001064 is a wasteful number, since it uses less digits than its factorization.

10001064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3317 counting only the distinct ones).

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

The square root of 10001064 is about 3162.4458888651. The cubic root of 10001064 is about 215.4511097939.

Adding to 10001064 its reverse (46010001), we get a palindrome (56011065).

The spelling of 10001064 in words is "ten million, one thousand, sixty-four".