10105000064 has 64 divisors (see below), whose sum is σ = 20859897600. Its totient is φ = 4870824960.

The previous prime is 10105000063. The next prime is 10105000093. The reversal of 10105000064 is 46000050101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10105000064² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105000063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062659 + ... + 1072125.

It is an arithmetic number, because the mean of its divisors is an integer number (325935900).

Almost surely, 2^10105000064 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 10105000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429948800).

10105000064 is an abundant number, since it is smaller than the sum of its proper divisors (10754897536).

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

10105000064 is an equidigital number, since it uses as much as digits as its factorization.

10105000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10105000064 its reverse (46000050101), we get a palindrome (56105050165).

The spelling of 10105000064 in words is "ten billion, one hundred five million, sixty-four", and thus it is an aban number.