103281984 has 126 divisors (see below), whose sum is σ = 320865246. Its totient is φ = 31749120.

The previous prime is 103281973. The next prime is 103281991. The reversal of 103281984 is 489182301.

It can be written as a sum of positive squares in 3 ways, for example, as 705600 + 102576384 = 840^2 + 10128^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 96814 + ... + 97874.

Almost surely, 2^103281984 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 103281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160432623).

103281984 is an abundant number, since it is smaller than the sum of its proper divisors (217583262).

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

103281984 is a wasteful number, since it uses less digits than its factorization.

103281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 103281984 is about 10162.7744243391. The cubic root of 103281984 is about 469.1821963710.

The spelling of 103281984 in words is "one hundred three million, two hundred eighty-one thousand, nine hundred eighty-four".