105105051005 has 16 divisors (see below), whose sum is σ = 126683212080. Its totient is φ = 83713264128.

The previous prime is 105105050971. The next prime is 105105051011. The reversal of 105105051005 is 500150501501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42721996249 + 62383054756 = 206693^2 + 249766^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105051005 - 2⁸ = 105105050749 is a prime.

It is a super-2 number, since 2×105105051005² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256879 + ... + 1337891.

It is an arithmetic number, because the mean of its divisors is an integer number (7917700755).

Almost surely, 2^105105051005 is an apocalyptic number.

It is an amenable number.

105105051005 is a deficient number, since it is larger than the sum of its proper divisors (21578161075).

105105051005 is an equidigital number, since it uses as much as digits as its factorization.

105105051005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82160.

The product of its (nonzero) digits is 625, while the sum is 23.

Adding to 105105051005 its reverse (500150501501), we get a palindrome (605255552506).

The spelling of 105105051005 in words is "one hundred five billion, one hundred five million, fifty-one thousand, five".