105010101105 has 48 divisors (see below), whose sum is σ = 207925361280. Its totient is φ = 44311947264.

The previous prime is 105010101061. The next prime is 105010101169. The reversal of 105010101105 is 501101010501.

It is not a de Polignac number, because 105010101105 - 2²⁵ = 104976546673 is a prime.

It is a super-2 number, since 2×105010101105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2941120 + ... + 2976609.

It is an arithmetic number, because the mean of its divisors is an integer number (4331778360).

Almost surely, 2^105010101105 is an apocalyptic number.

105010101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105010101105 is a deficient number, since it is larger than the sum of its proper divisors (102915260175).

105010101105 is a wasteful number, since it uses less digits than its factorization.

105010101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917770 (or 5917757 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 105010101105 its reverse (501101010501), we get a palindrome (606111111606).

The spelling of 105010101105 in words is "one hundred five billion, ten million, one hundred one thousand, one hundred five".