103583116 has 48 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 40815936.

The previous prime is 103583111. The next prime is 103583119. The reversal of 103583116 is 611385301.

It is a super-3 number, since 3×103583116³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103583111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139041 + ... + 139783.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2^103583116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103583116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832).

103583116 is an abundant number, since it is smaller than the sum of its proper divisors (120402548).

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

103583116 is a wasteful number, since it uses less digits than its factorization.

103583116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 103583116 is about 10177.5790834559. The cubic root of 103583116 is about 469.6377410760.

The spelling of 103583116 in words is "one hundred three million, five hundred eighty-three thousand, one hundred sixteen".