103400325600 has 1152 divisors, whose sum is σ = 423017925120. Its totient is φ = 21565440000.

The previous prime is 103400325593. The next prime is 103400325617. The reversal of 103400325600 is 6523004301.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 658600722 + ... + 658600878.

It is an arithmetic number, because the mean of its divisors is an integer number (367203060).

Almost surely, 2^103400325600 is an apocalyptic number.

103400325600 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 103400325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211508962560).

103400325600 is an abundant number, since it is smaller than the sum of its proper divisors (319617599520).

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

103400325600 is a wasteful number, since it uses less digits than its factorization.

103400325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

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

Adding to 103400325600 its reverse (6523004301), we get a palindrome (109923329901).

The spelling of 103400325600 in words is "one hundred three billion, four hundred million, three hundred twenty-five thousand, six hundred".