10105106660 has 48 divisors (see below), whose sum is σ = 23169307392. Its totient is φ = 3671500800.

The previous prime is 10105106657. The next prime is 10105106749. The reversal of 10105106660 is 6660150101.

10105106660 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 2×10105106660² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 252164 + ... + 289476.

It is an arithmetic number, because the mean of its divisors is an integer number (482693904).

Almost surely, 2^10105106660 is an apocalyptic number.

10105106660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105106660 is an abundant number, since it is smaller than the sum of its proper divisors (13064200732).

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

10105106660 is a wasteful number, since it uses less digits than its factorization.

10105106660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38564 (or 38562 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 10105106660 its reverse (6660150101), we get a palindrome (16765256761).

The spelling of 10105106660 in words is "ten billion, one hundred five million, one hundred six thousand, six hundred sixty".