10005113362200 has 384 divisors, whose sum is σ = 35690858496000. Its totient is φ = 2293014182400.

The previous prime is 10005113362183. The next prime is 10005113362207. The reversal of 10005113362200 is 226331150001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005113362207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59983317 + ... + 60149883.

It is an arithmetic number, because the mean of its divisors is an integer number (92944944000).

Almost surely, 2^{10005113362200} is an apocalyptic number.

10005113362200 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 10005113362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845429248000).

10005113362200 is an abundant number, since it is smaller than the sum of its proper divisors (25685745133800).

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

10005113362200 is a wasteful number, since it uses less digits than its factorization.

10005113362200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167095 (or 167086 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 10005113362200 in words is "ten trillion, five billion, one hundred thirteen million, three hundred sixty-two thousand, two hundred".