102014200 has 96 divisors (see below), whose sum is σ = 251948160. Its totient is φ = 38332800.

The previous prime is 102014197. The next prime is 102014207. The reversal of 102014200 is 2410201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102014207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308035 + ... + 308365.

It is an arithmetic number, because the mean of its divisors is an integer number (2624460).

Almost surely, 2^102014200 is an apocalyptic number.

102014200 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 102014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125974080).

102014200 is an abundant number, since it is smaller than the sum of its proper divisors (149933960).

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

102014200 is a wasteful number, since it uses less digits than its factorization.

102014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102014200 is about 10100.2079186520. The cubic root of 102014200 is about 467.2545538778.

Adding to 102014200 its reverse (2410201), we get a palindrome (104424401).

The spelling of 102014200 in words is "one hundred two million, fourteen thousand, two hundred".