10106005860 has 72 divisors (see below), whose sum is σ = 30774305016. Its totient is φ = 2684436480.

The previous prime is 10106005849. The next prime is 10106005867. The reversal of 10106005860 is 6850060101.

10106005860 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 600 + 58 + 6 + 0 = 666.

10106005860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 672157476 + 9433848384 = 25926^2 + 97128^2 .

It is not an unprimeable number, because it can be changed into a prime (10106005867) 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 23 ways as a sum of consecutive naturals, for example, 62971 + ... + 155490.

It is an arithmetic number, because the mean of its divisors is an integer number (427420903).

Almost surely, 2^10106005860 is an apocalyptic number.

10106005860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106005860 is an abundant number, since it is smaller than the sum of its proper divisors (20668299156).

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

10106005860 is a wasteful number, since it uses less digits than its factorization.

10106005860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218733 (or 218728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10106005860 its reverse (6850060101), we get a palindrome (16956065961).

The spelling of 10106005860 in words is "ten billion, one hundred six million, five thousand, eight hundred sixty".