105105203043312 has 80 divisors (see below), whose sum is σ = 280353413629952. Its totient is φ = 33896089025280.

The previous prime is 105105203043287. The next prime is 105105203043349. The reversal of 105105203043312 is 213340302501501.

It is a super-2 number, since 2×105105203043312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105105203043312.

It is a congruent number.

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, 3456223 + ... + 14904894.

Almost surely, 2^{105105203043312} is an apocalyptic number.

105105203043312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105105203043312 is an abundant number, since it is smaller than the sum of its proper divisors (175248210586640).

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

105105203043312 is a wasteful number, since it uses less digits than its factorization.

105105203043312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365006 (or 18365000 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105105203043312 its reverse (213340302501501), we get a palindrome (318445505544813).

The spelling of 105105203043312 in words is "one hundred five trillion, one hundred five billion, two hundred three million, forty-three thousand, three hundred twelve".