105001010550560 has 48 divisors (see below), whose sum is σ = 248071983578496. Its totient is φ = 41999202755328.

The previous prime is 105001010550559. The next prime is 105001010550577. The reversal of 105001010550560 is 65055010100501.

It is a happy number.

It is a super-2 number, since 2×105001010550560² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3765254 + ... + 14972613.

It is an arithmetic number, because the mean of its divisors is an integer number (5168166324552).

Almost surely, 2^{105001010550560} is an apocalyptic number.

105001010550560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001010550560 is an abundant number, since it is smaller than the sum of its proper divisors (143070973027936).

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

105001010550560 is a wasteful number, since it uses less digits than its factorization.

105001010550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18772905 (or 18772897 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105001010550560 in words is "one hundred five trillion, one billion, ten million, five hundred fifty thousand, five hundred sixty".