10106105605610 has 32 divisors (see below), whose sum is σ = 22012626666240. Its totient is φ = 3261129875712.

The previous prime is 10106105605591. The next prime is 10106105605663. The reversal of 10106105605610 is 1650650160101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246261670 + ... + 4246264049.

It is an arithmetic number, because the mean of its divisors is an integer number (687894583320).

Almost surely, 2^{10106105605610} is an apocalyptic number.

10106105605610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106105605610 is an abundant number, since it is smaller than the sum of its proper divisors (11906521060630).

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

10106105605610 is a wasteful number, since it uses less digits than its factorization.

10106105605610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492525750.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 10106105605610 its reverse (1650650160101), we get a palindrome (11756755765711).

The spelling of 10106105605610 in words is "ten trillion, one hundred six billion, one hundred five million, six hundred five thousand, six hundred ten".