105500105006010 has 128 divisors (see below), whose sum is σ = 297477338296320. Its totient is φ = 23607517651200.

The previous prime is 105500105006003. The next prime is 105500105006011. The reversal of 105500105006010 is 10600501005501.

105500105006010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105500105006010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105500105006011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115766511 + ... + 116674269.

It is an arithmetic number, because the mean of its divisors is an integer number (2324041705440).

Almost surely, 2^{105500105006010} is an apocalyptic number.

105500105006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105500105006010 is an abundant number, since it is smaller than the sum of its proper divisors (191977233290310).

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

105500105006010 is a wasteful number, since it uses less digits than its factorization.

105500105006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934884.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105500105006010 in words is "one hundred five trillion, five hundred billion, one hundred five million, six thousand, ten".