103206674400 has 288 divisors, whose sum is σ = 342203097600. Its totient is φ = 27012710400.

The previous prime is 103206674371. The next prime is 103206674407. The reversal of 103206674400 is 4476602301.

It is a happy number.

103206674400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103206674407) 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, 33936880 + ... + 33939920.

It is an arithmetic number, because the mean of its divisors is an integer number (1188205200).

Almost surely, 2^103206674400 is an apocalyptic number.

103206674400 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 103206674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171101548800).

103206674400 is an abundant number, since it is smaller than the sum of its proper divisors (238996423200).

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

103206674400 is a wasteful number, since it uses less digits than its factorization.

103206674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 103206674400 in words is "one hundred three billion, two hundred six million, six hundred seventy-four thousand, four hundred".