105313200000 has 768 divisors, whose sum is σ = 382475520000. Its totient is φ = 25574400000.

The previous prime is 105313199987. The next prime is 105313200007. The reversal of 105313200000 is 2313501.

It is a happy number.

It is a super-2 number, since 2×105313200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 706799926 + ... + 706800074.

It is an arithmetic number, because the mean of its divisors is an integer number (498015000).

Almost surely, 2^105313200000 is an apocalyptic number.

105313200000 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 105313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760000).

105313200000 is an abundant number, since it is smaller than the sum of its proper divisors (277162320000).

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

105313200000 is an equidigital number, since it uses as much as digits as its factorization.

105313200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 105313200000 its reverse (2313501), we get a palindrome (105315513501).

The spelling of 105313200000 in words is "one hundred five billion, three hundred thirteen million, two hundred thousand".