105001110051 has 16 divisors (see below), whose sum is σ = 141418308000. Its totient is φ = 69292627200.

The previous prime is 105001110041. The next prime is 105001110061. The reversal of 105001110051 is 150011100501.

It is an interprime number because it is at equal distance from previous prime (105001110041) and next prime (105001110061).

It is not a de Polignac number, because 105001110051 - 2¹⁵ = 105001077283 is a prime.

It is a super-2 number, since 2×105001110051² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105001110051.

It is not an unprimeable number, because it can be changed into a prime (105001110041) by changing a digit.

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, 1459575 + ... + 1529823.

It is an arithmetic number, because the mean of its divisors is an integer number (8838644250).

Almost surely, 2^105001110051 is an apocalyptic number.

105001110051 is a deficient number, since it is larger than the sum of its proper divisors (36417197949).

105001110051 is a wasteful number, since it uses less digits than its factorization.

105001110051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75286.

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

Adding to 105001110051 its reverse (150011100501), we get a palindrome (255012210552).

The spelling of 105001110051 in words is "one hundred five billion, one million, one hundred ten thousand, fifty-one".