102434200 has 96 divisors (see below), whose sum is σ = 262951920. Its totient is φ = 36800000.

The previous prime is 102434153. The next prime is 102434209. The reversal of 102434200 is 2434201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102434209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221970 + ... + 222430.

Almost surely, 2^102434200 is an apocalyptic number.

102434200 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 102434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131475960).

102434200 is an abundant number, since it is smaller than the sum of its proper divisors (160517720).

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

102434200 is a wasteful number, since it uses less digits than its factorization.

102434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102434200 is about 10120.9782135918. The cubic root of 102434200 is about 467.8949163827.

Adding to 102434200 its reverse (2434201), we get a palindrome (104868401).

Subtracting from 102434200 its reverse (2434201), we obtain a palindrome (99999999).

The spelling of 102434200 in words is "one hundred two million, four hundred thirty-four thousand, two hundred".