103082016 has 96 divisors (see below), whose sum is σ = 290340288. Its totient is φ = 31907840.

The previous prime is 103081987. The next prime is 103082017. The reversal of 103082016 is 610280301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103081983 and 103082001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103082017) 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, 135076 + ... + 135836.

It is an arithmetic number, because the mean of its divisors is an integer number (3024378).

Almost surely, 2^103082016 is an apocalyptic number.

103082016 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 103082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145170144).

103082016 is an abundant number, since it is smaller than the sum of its proper divisors (187258272).

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

103082016 is a wasteful number, since it uses less digits than its factorization.

103082016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 103082016 is about 10152.9313993546. The cubic root of 103082016 is about 468.8792005099.

The spelling of 103082016 in words is "one hundred three million, eighty-two thousand, sixteen".