10340114200 has 192 divisors, whose sum is σ = 26487992160. Its totient is φ = 3730821120.

The previous prime is 10340114189. The next prime is 10340114231. The reversal of 10340114200 is 241104301.

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, 29798427 + ... + 29798773.

Almost surely, 2^10340114200 is an apocalyptic number.

10340114200 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 10340114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243996080).

10340114200 is an abundant number, since it is smaller than the sum of its proper divisors (16147877960).

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

10340114200 is a wasteful number, since it uses less digits than its factorization.

10340114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10340114200 its reverse (241104301), we get a palindrome (10581218501).

The spelling of 10340114200 in words is "ten billion, three hundred forty million, one hundred fourteen thousand, two hundred".