103354123200 has 336 divisors, whose sum is σ = 349068908160. Its totient is φ = 26761441280.

The previous prime is 103354123199. The next prime is 103354123217. The reversal of 103354123200 is 2321453301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23503402 + ... + 23507798.

It is an arithmetic number, because the mean of its divisors is an integer number (1038895560).

Almost surely, 2^103354123200 is an apocalyptic number.

103354123200 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 103354123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174534454080).

103354123200 is an abundant number, since it is smaller than the sum of its proper divisors (245714784960).

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

103354123200 is a wasteful number, since it uses less digits than its factorization.

103354123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 103354123200 its reverse (2321453301), we get a palindrome (105675576501).

The spelling of 103354123200 in words is "one hundred three billion, three hundred fifty-four million, one hundred twenty-three thousand, two hundred".