105503965320 has 512 divisors, whose sum is σ = 372879360000. Its totient is φ = 23648993280.

The previous prime is 105503965297. The next prime is 105503965337. The reversal of 105503965320 is 23569305501.

105503965320 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×105503965320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182848872 + ... + 182849448.

It is an arithmetic number, because the mean of its divisors is an integer number (728280000).

Almost surely, 2^105503965320 is an apocalyptic number.

105503965320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105503965320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186439680000).

105503965320 is an abundant number, since it is smaller than the sum of its proper divisors (267375394680).

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

105503965320 is a wasteful number, since it uses less digits than its factorization.

105503965320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The spelling of 105503965320 in words is "one hundred five billion, five hundred three million, nine hundred sixty-five thousand, three hundred twenty".