10114200 has 96 divisors (see below), whose sum is σ = 34856400. Its totient is φ = 2695680.

The previous prime is 10114199. The next prime is 10114207. The reversal of 10114200 is 241101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464 + ... + 6336.

Almost surely, 2^10114200 is an apocalyptic number.

10114200 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 10114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428200).

10114200 is an abundant number, since it is smaller than the sum of its proper divisors (24742200).

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

10114200 is a wasteful number, since it uses less digits than its factorization.

10114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10114200 is about 3180.2830062748. The cubic root of 10114200 is about 216.2604882035.

Adding to 10114200 its reverse (241101), we get a palindrome (10355301).

The spelling of 10114200 in words is "ten million, one hundred fourteen thousand, two hundred".