103724040 has 256 divisors, whose sum is σ = 383846400. Its totient is φ = 21897216.

The previous prime is 103724017. The next prime is 103724057. The reversal of 103724040 is 40427301.

103724040 = T₁₉₂ + T₁₉₃ + ... + T₈₅₆.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103723998 and 103724016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069272 + ... + 1069368.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^103724040 is an apocalyptic number.

103724040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10184×10185.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103724040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

103724040 is an abundant number, since it is smaller than the sum of its proper divisors (280122360).

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

103724040 is a wasteful number, since it uses less digits than its factorization.

103724040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 103724040 is about 10184.4999877264. The cubic root of 103724040 is about 469.8506240256.

The spelling of 103724040 in words is "one hundred three million, seven hundred twenty-four thousand, forty".