103200111300 has 288 divisors, whose sum is σ = 351246268800. Its totient is φ = 23063961600.

The previous prime is 103200111293. The next prime is 103200111337. The reversal of 103200111300 is 3111002301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66451324 + ... + 66452876.

It is an arithmetic number, because the mean of its divisors is an integer number (1219605100).

Almost surely, 2^103200111300 is an apocalyptic number.

103200111300 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 103200111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175623134400).

103200111300 is an abundant number, since it is smaller than the sum of its proper divisors (248046157500).

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

103200111300 is a wasteful number, since it uses less digits than its factorization.

103200111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103200111300 its reverse (3111002301), we get a palindrome (106311113601).

The spelling of 103200111300 in words is "one hundred three billion, two hundred million, one hundred eleven thousand, three hundred".