10106011008 has 160 divisors (see below), whose sum is σ = 30137682960. Its totient is φ = 3361692672.

The previous prime is 10106011001. The next prime is 10106011033. The reversal of 10106011008 is 80011060101.

10106011008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106011001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8262685 + ... + 8263907.

Almost surely, 2^10106011008 is an apocalyptic number.

10106011008 is a gapful number since it is divisible by the number (18) 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 10106011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068841480).

10106011008 is an abundant number, since it is smaller than the sum of its proper divisors (20031671952).

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

10106011008 is an equidigital number, since it uses as much as digits as its factorization.

10106011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10106011008 its reverse (80011060101), we get a palindrome (90117071109).

The spelling of 10106011008 in words is "ten billion, one hundred six million, eleven thousand, eight".