10115115105 has 32 divisors (see below), whose sum is σ = 16912963584. Its totient is φ = 5157141696.

The previous prime is 10115115091. The next prime is 10115115113. The reversal of 10115115105 is 50151151101.

It is not a de Polignac number, because 10115115105 - 2¹⁵ = 10115082337 is a prime.

It is a super-2 number, since 2×10115115105² (a number of 21 digits) contains 22 as substring.

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, 136519 + ... + 197148.

It is an arithmetic number, because the mean of its divisors is an integer number (528530112).

Almost surely, 2^10115115105 is an apocalyptic number.

10115115105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10115115105 is a deficient number, since it is larger than the sum of its proper divisors (6797848479).

10115115105 is a wasteful number, since it uses less digits than its factorization.

10115115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333765.

The product of its (nonzero) digits is 125, while the sum is 21.

Adding to 10115115105 its reverse (50151151101), we get a palindrome (60266266206).

The spelling of 10115115105 in words is "ten billion, one hundred fifteen million, one hundred fifteen thousand, one hundred five".