105334533304 has 64 divisors (see below), whose sum is σ = 265177866240. Its totient is φ = 37882546560.

The previous prime is 105334533299. The next prime is 105334533313. The reversal of 105334533304 is 403335433501.

It is a super-2 number, since 2×105334533304² (a number of 23 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 105334533304.

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, 6568824 + ... + 6584839.

It is an arithmetic number, because the mean of its divisors is an integer number (4143404160).

Almost surely, 2^105334533304 is an apocalyptic number.

105334533304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105334533304 is an abundant number, since it is smaller than the sum of its proper divisors (159843332936).

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

105334533304 is a wasteful number, since it uses less digits than its factorization.

105334533304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153700 (or 13153696 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 34.

Adding to 105334533304 its reverse (403335433501), we get a palindrome (508669966805).

The spelling of 105334533304 in words is "one hundred five billion, three hundred thirty-four million, five hundred thirty-three thousand, three hundred four".