105313323403200 has 336 divisors, whose sum is σ = 376954876450944. Its totient is φ = 25528543948800.

The previous prime is 105313323403159. The next prime is 105313323403229. The reversal of 105313323403200 is 2304323313501.

It is a super-2 number, since 2×105313323403200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759564282 + ... + 759702918.

Almost surely, 2^{105313323403200} is an apocalyptic number.

105313323403200 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 105313323403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188477438225472).

105313323403200 is an abundant number, since it is smaller than the sum of its proper divisors (271641553047744).

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

105313323403200 is a wasteful number, since it uses less digits than its factorization.

105313323403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153060 (or 153045 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 105313323403200 its reverse (2304323313501), we get a palindrome (107617646716701).

The spelling of 105313323403200 in words is "one hundred five trillion, three hundred thirteen billion, three hundred twenty-three million, four hundred three thousand, two hundred".