105513202300 has 36 divisors (see below), whose sum is σ = 249778528776. Its totient is φ = 38368436800.

The previous prime is 105513202273. The next prime is 105513202343. The reversal of 105513202300 is 3202315501.

It is a super-2 number, since 2×105513202300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47959447 + ... + 47961646.

It is an arithmetic number, because the mean of its divisors is an integer number (6938292466).

Almost surely, 2^105513202300 is an apocalyptic number.

105513202300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513202300 is an abundant number, since it is smaller than the sum of its proper divisors (144265326476).

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

105513202300 is a wasteful number, since it uses less digits than its factorization.

105513202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95921118 (or 95921111 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 105513202300 its reverse (3202315501), we get a palindrome (108715517801).

The spelling of 105513202300 in words is "one hundred five billion, five hundred thirteen million, two hundred two thousand, three hundred".