105513404304000 has 512 divisors, whose sum is σ = 436085544960000. Its totient is φ = 21924862464000.

The previous prime is 105513404303971. The next prime is 105513404304017. The reversal of 105513404304000 is 403404315501.

It is a super-2 number, since 2×105513404304000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10578000 + ... + 17969999.

It is an arithmetic number, because the mean of its divisors is an integer number (851729580000).

Almost surely, 2^{105513404304000} is an apocalyptic number.

105513404304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513404304000 is an abundant number, since it is smaller than the sum of its proper divisors (330572140656000).

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

105513404304000 is a wasteful number, since it uses less digits than its factorization.

105513404304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548049 (or 28548027 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105513404304000 its reverse (403404315501), we get a palindrome (105916808619501).

The spelling of 105513404304000 in words is "one hundred five trillion, five hundred thirteen billion, four hundred four million, three hundred four thousand".