1010112105 has 32 divisors (see below), whose sum is σ = 1707431040. Its totient is φ = 508515840.

The previous prime is 1010112053. The next prime is 1010112149. The reversal of 1010112105 is 5012110101.

1010112105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010112105 - 2⁶ = 1010112041 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73779 + ... + 86391.

It is an arithmetic number, because the mean of its divisors is an integer number (53357220).

Almost surely, 2^1010112105 is an apocalyptic number.

1010112105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010112105 is a deficient number, since it is larger than the sum of its proper divisors (697318935).

1010112105 is a wasteful number, since it uses less digits than its factorization.

1010112105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921.

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 1010112105 is about 31782.2608541306. The cubic root of 1010112105 is about 1003.3594034376.

Adding to 1010112105 its reverse (5012110101), we get a palindrome (6022222206).

The spelling of 1010112105 in words is "one billion, ten million, one hundred twelve thousand, one hundred five".