103674340224 has 768 divisors, whose sum is σ = 380962982400. Its totient is φ = 26336378880.

The previous prime is 103674340223. The next prime is 103674340229. The reversal of 103674340224 is 422043476301.

It is a Cunningham number, because it is equal to 321985²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103674340223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491347479 + ... + 491347689.

It is an arithmetic number, because the mean of its divisors is an integer number (496045550).

Almost surely, 2^103674340224 is an apocalyptic number.

103674340224 is a gapful number since it is divisible by the number (14) 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 103674340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190481491200).

103674340224 is an abundant number, since it is smaller than the sum of its proper divisors (277288642176).

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

103674340224 is a wasteful number, since it uses less digits than its factorization.

103674340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 103674340224 in words is "one hundred three billion, six hundred seventy-four million, three hundred forty thousand, two hundred twenty-four".