10105010664 has 256 divisors, whose sum is σ = 31614105600. Its totient is φ = 2625896448.

The previous prime is 10105010659. The next prime is 10105010677. The reversal of 10105010664 is 46601050101.

10105010664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105010664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13140072 + ... + 13140840.

It is an arithmetic number, because the mean of its divisors is an integer number (123492600).

Almost surely, 2^10105010664 is an apocalyptic number.

10105010664 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 10105010664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807052800).

10105010664 is an abundant number, since it is smaller than the sum of its proper divisors (21509094936).

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

10105010664 is a wasteful number, since it uses less digits than its factorization.

10105010664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10105010664 its reverse (46601050101), we get a palindrome (56706060765).

The spelling of 10105010664 in words is "ten billion, one hundred five million, ten thousand, six hundred sixty-four".