10512314106 has 128 divisors (see below), whose sum is σ = 25844023296. Its totient is φ = 2782494720.

The previous prime is 10512314077. The next prime is 10512314107. The reversal of 10512314106 is 60141321501.

It is a happy number.

It is a super-2 number, since 2×10512314106² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10512314107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16399546 + ... + 16400186.

It is an arithmetic number, because the mean of its divisors is an integer number (201906432).

Almost surely, 2^10512314106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10512314106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922011648).

10512314106 is an abundant number, since it is smaller than the sum of its proper divisors (15331709190).

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

10512314106 is a wasteful number, since it uses less digits than its factorization.

10512314106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996.

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

Adding to 10512314106 its reverse (60141321501), we get a palindrome (70653635607).

The spelling of 10512314106 in words is "ten billion, five hundred twelve million, three hundred fourteen thousand, one hundred six".