105105101061 has 16 divisors (see below), whose sum is σ = 145117168128. Its totient is φ = 67595812800.

The previous prime is 105105101053. The next prime is 105105101081. The reversal of 105105101061 is 160101501501.

It is a happy number.

It is not a de Polignac number, because 105105101061 - 2³ = 105105101053 is a prime.

It is a super-2 number, since 2×105105101061² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753110 + ... + 1812071.

It is an arithmetic number, because the mean of its divisors is an integer number (9069823008).

Almost surely, 2^105105101061 is an apocalyptic number.

It is an amenable number.

105105101061 is a deficient number, since it is larger than the sum of its proper divisors (40012067067).

105105101061 is a wasteful number, since it uses less digits than its factorization.

105105101061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565532.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105105101061 its reverse (160101501501), we get a palindrome (265206602562).

The spelling of 105105101061 in words is "one hundred five billion, one hundred five million, one hundred one thousand, sixty-one".