103683456 has 128 divisors (see below), whose sum is σ = 322320000. Its totient is φ = 32721408.

The previous prime is 103683443. The next prime is 103683479. The reversal of 103683456 is 654386301.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103683456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64875 + ... + 66453.

It is an arithmetic number, because the mean of its divisors is an integer number (2518125).

Almost surely, 2^103683456 is an apocalyptic number.

103683456 is a gapful number since it is divisible by the number (16) 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 103683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161160000).

103683456 is an abundant number, since it is smaller than the sum of its proper divisors (218636544).

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

103683456 is a wasteful number, since it uses less digits than its factorization.

103683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 103683456 is about 10182.5073532996. The cubic root of 103683456 is about 469.7893367058.

It can be divided in two parts, 10368 and 3456, that multiplied together give a 7-th power (35831808 = 12⁷).

The spelling of 103683456 in words is "one hundred three million, six hundred eighty-three thousand, four hundred fifty-six".