105010506060 has 96 divisors (see below), whose sum is σ = 313233903360. Its totient is φ = 26209320192.

The previous prime is 105010506031. The next prime is 105010506077. The reversal of 105010506060 is 60605010501.

It is a super-2 number, since 2×105010506060² (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 105010506060.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 460287 + ... + 649526.

It is an arithmetic number, because the mean of its divisors is an integer number (3262853160).

Almost surely, 2^105010506060 is an apocalyptic number.

105010506060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010506060 is an abundant number, since it is smaller than the sum of its proper divisors (208223397300).

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

105010506060 is a wasteful number, since it uses less digits than its factorization.

105010506060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109927 (or 1109925 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105010506060 its reverse (60605010501), we get a palindrome (165615516561).

The spelling of 105010506060 in words is "one hundred five billion, ten million, five hundred six thousand, sixty".