103439036947400 has 768 divisors, whose sum is σ = 321114072384000. Its totient is φ = 29997268992000.

The previous prime is 103439036947381. The next prime is 103439036947453. The reversal of 103439036947400 is 4749630934301.

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, 29991020876 + ... + 29991024324.

It is an arithmetic number, because the mean of its divisors is an integer number (418117281750).

Almost surely, 2^{103439036947400} is an apocalyptic number.

103439036947400 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 103439036947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160557036192000).

103439036947400 is an abundant number, since it is smaller than the sum of its proper divisors (217675035436600).

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

103439036947400 is a wasteful number, since it uses less digits than its factorization.

103439036947400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 53.

The spelling of 103439036947400 in words is "one hundred three trillion, four hundred thirty-nine billion, thirty-six million, nine hundred forty-seven thousand, four hundred".