103306745200 has 120 divisors (see below), whose sum is σ = 254627251920. Its totient is φ = 40264396800.

The previous prime is 103306745183. The next prime is 103306745203. The reversal of 103306745200 is 2547603301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103306745203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2591016 + ... + 2630584.

It is an arithmetic number, because the mean of its divisors is an integer number (2121893766).

Almost surely, 2^103306745200 is an apocalyptic number.

103306745200 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 103306745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127313625960).

103306745200 is an abundant number, since it is smaller than the sum of its proper divisors (151320506720).

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

103306745200 is a wasteful number, since it uses less digits than its factorization.

103306745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39755 (or 39744 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 103306745200 in words is "one hundred three billion, three hundred six million, seven hundred forty-five thousand, two hundred".