105212042304 has 56 divisors (see below), whose sum is σ = 278399552928. Its totient is φ = 35067402240.

The previous prime is 105212042303. The next prime is 105212042323. The reversal of 105212042304 is 403240212501.

It is a super-2 number, since 2×105212042304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105212042303) 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, 2903659 + ... + 2939669.

It is an arithmetic number, because the mean of its divisors is an integer number (4971420588).

Almost surely, 2^105212042304 is an apocalyptic number.

It is an amenable number.

105212042304 is an abundant number, since it is smaller than the sum of its proper divisors (173187510624).

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

105212042304 is a wasteful number, since it uses less digits than its factorization.

105212042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51243 (or 51233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 105212042304 its reverse (403240212501), we get a palindrome (508452254805).

The spelling of 105212042304 in words is "one hundred five billion, two hundred twelve million, forty-two thousand, three hundred four".