105051001105 has 8 divisors (see below), whose sum is σ = 126071095464. Its totient is φ = 84034204800.

The previous prime is 105051001061. The next prime is 105051001117. The reversal of 105051001105 is 501100150501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20204632449 + 84846368656 = 142143^2 + 291284^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105051001105 - 2¹¹ = 105050999057 is a prime.

It is a super-2 number, since 2×105051001105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753886 + ... + 882295.

It is an arithmetic number, because the mean of its divisors is an integer number (15758886933).

Almost surely, 2^105051001105 is an apocalyptic number.

It is an amenable number.

105051001105 is a deficient number, since it is larger than the sum of its proper divisors (21020094359).

105051001105 is a wasteful number, since it uses less digits than its factorization.

105051001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649027.

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 105051001105 its reverse (501100150501), we get a palindrome (606151151606).

The spelling of 105051001105 in words is "one hundred five billion, fifty-one million, one thousand, one hundred five".