103738400600 has 96 divisors (see below), whose sum is σ = 243420372480. Its totient is φ = 41112852480.

The previous prime is 103738400567. The next prime is 103738400629. The reversal of 103738400600 is 6004837301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22273472 + ... + 22278128.

It is an arithmetic number, because the mean of its divisors is an integer number (2535628880).

Almost surely, 2^103738400600 is an apocalyptic number.

103738400600 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 103738400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121710186240).

103738400600 is an abundant number, since it is smaller than the sum of its proper divisors (139681971880).

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

103738400600 is a wasteful number, since it uses less digits than its factorization.

103738400600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 103738400600 in words is "one hundred three billion, seven hundred thirty-eight million, four hundred thousand, six hundred".