103283856 has 160 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 31090176.

The previous prime is 103283839. The next prime is 103283861. The reversal of 103283856 is 658382301.

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 103283856.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297475 + ... + 297821.

It is an arithmetic number, because the mean of its divisors is an integer number (2038932).

Almost surely, 2^103283856 is an apocalyptic number.

103283856 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 103283856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

103283856 is an abundant number, since it is smaller than the sum of its proper divisors (222945264).

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

103283856 is a wasteful number, since it uses less digits than its factorization.

103283856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 103283856 is about 10162.8665247557. The cubic root of 103283856 is about 469.1850310175.

The spelling of 103283856 in words is "one hundred three million, two hundred eighty-three thousand, eight hundred fifty-six".