103914409573800 has 432 divisors, whose sum is σ = 407743854017760. Its totient is φ = 23647226722560.

The previous prime is 103914409573787. The next prime is 103914409573801. The reversal of 103914409573800 is 8375904419301.

103914409573800 is a `hidden beast` number, since 1 + 0 + 3 + 91 + 4 + 409 + 5 + 73 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (103914409573801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17426317 + ... + 22616483.

It is an arithmetic number, because the mean of its divisors is an integer number (943851513930).

Almost surely, 2^{103914409573800} is an apocalyptic number.

103914409573800 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 103914409573800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203871927008880).

103914409573800 is an abundant number, since it is smaller than the sum of its proper divisors (303829444443960).

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

103914409573800 is a wasteful number, since it uses less digits than its factorization.

103914409573800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190430 (or 5190411 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 103914409573800 in words is "one hundred three trillion, nine hundred fourteen billion, four hundred nine million, five hundred seventy-three thousand, eight hundred".