10500105605060 has 48 divisors (see below), whose sum is σ = 22139682747840. Its totient is φ = 4183004496000.

The previous prime is 10500105605053. The next prime is 10500105605081. The reversal of 10500105605060 is 6050650100501.

It is a super-2 number, since 2×10500105605060² (a number of 27 digits) contains 22 as substring.

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, 76581887 + ... + 76718873.

It is an arithmetic number, because the mean of its divisors is an integer number (461243390580).

Almost surely, 2^{10500105605060} is an apocalyptic number.

10500105605060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500105605060 is an abundant number, since it is smaller than the sum of its proper divisors (11639577142780).

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

10500105605060 is a wasteful number, since it uses less digits than its factorization.

10500105605060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152516 (or 152514 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 10500105605060 its reverse (6050650100501), we get a palindrome (16550755705561).

The spelling of 10500105605060 in words is "ten trillion, five hundred billion, one hundred five million, six hundred five thousand, sixty".