105105106060 has 24 divisors (see below), whose sum is σ = 230317276896. Its totient is φ = 40214127360.

The previous prime is 105105106027. The next prime is 105105106061. The reversal of 105105106060 is 60601501501.

It is a super-2 number, since 2×105105106060² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105106061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114244221 + ... + 114245140.

It is an arithmetic number, because the mean of its divisors is an integer number (9596553204).

Almost surely, 2^105105106060 is an apocalyptic number.

105105106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105106060 is an abundant number, since it is smaller than the sum of its proper divisors (125212170836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105105106060 is a wasteful number, since it uses less digits than its factorization.

105105106060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228489393 (or 228489391 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105105106060 its reverse (60601501501), we get a palindrome (165706607561).

The spelling of 105105106060 in words is "one hundred five billion, one hundred five million, one hundred six thousand, sixty".