10671010110 has 96 divisors (see below), whose sum is σ = 28110888000. Its totient is φ = 2808165888.

The previous prime is 10671010093. The next prime is 10671010127. The reversal of 10671010110 is 1101017601.

10671010110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10671010093) and next prime (10671010127).

It is a super-2 number, since 2×10671010110² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5678151 + ... + 5680029.

It is an arithmetic number, because the mean of its divisors is an integer number (292821750).

Almost surely, 2^10671010110 is an apocalyptic number.

10671010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10671010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055444000).

10671010110 is an abundant number, since it is smaller than the sum of its proper divisors (17439877890).

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

10671010110 is a wasteful number, since it uses less digits than its factorization.

10671010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 10671010110 its reverse (1101017601), we get a palindrome (11772027711).

The spelling of 10671010110 in words is "ten billion, six hundred seventy-one million, ten thousand, one hundred ten".