105005606500212 has 24 divisors (see below), whose sum is σ = 267286998364512. Its totient is φ = 31819880757600.

The previous prime is 105005606500177. The next prime is 105005606500217. The reversal of 105005606500212 is 212005606500501.

It is a super-2 number, since 2×105005606500212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 397748509339 + ... + 397748509602.

It is an arithmetic number, because the mean of its divisors is an integer number (11136958265188).

Almost surely, 2^{105005606500212} is an apocalyptic number.

105005606500212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105005606500212 is an abundant number, since it is smaller than the sum of its proper divisors (162281391864300).

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

105005606500212 is a wasteful number, since it uses less digits than its factorization.

105005606500212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795497018959 (or 795497018957 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 105005606500212 in words is "one hundred five trillion, five billion, six hundred six million, five hundred thousand, two hundred twelve".