105013345465212 has 48 divisors (see below), whose sum is σ = 253912313208960. Its totient is φ = 33739821986752.

The previous prime is 105013345465181. The next prime is 105013345465213. The reversal of 105013345465212 is 212564543310501.

It is a super-2 number, since 2×105013345465212² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013345465213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256833618 + ... + 257242169.

It is an arithmetic number, because the mean of its divisors is an integer number (5289839858520).

Almost surely, 2^{105013345465212} is an apocalyptic number.

105013345465212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105013345465212 is an abundant number, since it is smaller than the sum of its proper divisors (148898967743748).

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

105013345465212 is a wasteful number, since it uses less digits than its factorization.

105013345465212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514076410 (or 514076408 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 105013345465212 its reverse (212564543310501), we get a palindrome (317577888775713).

The spelling of 105013345465212 in words is "one hundred five trillion, thirteen billion, three hundred forty-five million, four hundred sixty-five thousand, two hundred twelve".