103414302200 has 192 divisors, whose sum is σ = 267079334400. Its totient is φ = 36924825600.

The previous prime is 103414302193. The next prime is 103414302203. The reversal of 103414302200 is 2203414301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103414302203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33541859 + ... + 33544941.

It is an arithmetic number, because the mean of its divisors is an integer number (1391038200).

Almost surely, 2^103414302200 is an apocalyptic number.

103414302200 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 103414302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539667200).

103414302200 is an abundant number, since it is smaller than the sum of its proper divisors (163665032200).

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

103414302200 is a wasteful number, since it uses less digits than its factorization.

103414302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103414302200 its reverse (2203414301), we get a palindrome (105617716501).

The spelling of 103414302200 in words is "one hundred three billion, four hundred fourteen million, three hundred two thousand, two hundred".