103065984 has 96 divisors (see below), whose sum is σ = 338978640. Its totient is φ = 29445120.

The previous prime is 103065983. The next prime is 103066001. The reversal of 103065984 is 489560301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103065983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1674 + ... + 14454.

Almost surely, 2^103065984 is an apocalyptic number.

103065984 is a gapful number since it is divisible by the number (14) 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 103065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169489320).

103065984 is an abundant number, since it is smaller than the sum of its proper divisors (235912656).

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

103065984 is a wasteful number, since it uses less digits than its factorization.

103065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 103065984 is about 10152.1418429807. The cubic root of 103065984 is about 468.8548915135.

It can be divided in two parts, 10306 and 5984, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 103065984 in words is "one hundred three million, sixty-five thousand, nine hundred eighty-four".