103974840 has 192 divisors, whose sum is σ = 369532800. Its totient is φ = 26220672.

The previous prime is 103974833. The next prime is 103974883. The reversal of 103974840 is 48479301.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 103974795 and 103974804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184399 + ... + 184961.

It is an arithmetic number, because the mean of its divisors is an integer number (1924650).

Almost surely, 2^103974840 is an apocalyptic number.

103974840 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 103974840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184766400).

103974840 is an abundant number, since it is smaller than the sum of its proper divisors (265557960).

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

103974840 is a wasteful number, since it uses less digits than its factorization.

103974840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103974840 is about 10196.8053820792. The cubic root of 103974840 is about 470.2290116774.

The spelling of 103974840 in words is "one hundred three million, nine hundred seventy-four thousand, eight hundred forty".