105005606500210 has 128 divisors (see below), whose sum is σ = 208605242087424. Its totient is φ = 37814092124160.

The previous prime is 105005606500177. The next prime is 105005606500217. The reversal of 105005606500210 is 12005606500501.

It is a super-2 number, since 2×105005606500210² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005606500217) 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, 12300055062 + ... + 12300063598.

It is an arithmetic number, because the mean of its divisors is an integer number (1629728453808).

Almost surely, 2^{105005606500210} is an apocalyptic number.

105005606500210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005606500210 is a deficient number, since it is larger than the sum of its proper divisors (103599635587214).

105005606500210 is a wasteful number, since it uses less digits than its factorization.

105005606500210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15388.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105005606500210 in words is "one hundred five trillion, five billion, six hundred six million, five hundred thousand, two hundred ten".