103816020 has 192 divisors, whose sum is σ = 378556416. Its totient is φ = 20613120.

The previous prime is 103816007. The next prime is 103816039. The reversal of 103816020 is 20618301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105772 + ... + 106748.

It is an arithmetic number, because the mean of its divisors is an integer number (1971648).

Almost surely, 2^103816020 is an apocalyptic number.

103816020 is a gapful number since it is divisible by the number (10) 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 103816020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189278208).

103816020 is an abundant number, since it is smaller than the sum of its proper divisors (274740396).

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

103816020 is a wasteful number, since it uses less digits than its factorization.

103816020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1028 counting only the distinct ones).

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

The square root of 103816020 is about 10189.0146726757. The cubic root of 103816020 is about 469.9894670946.

The spelling of 103816020 in words is "one hundred three million, eight hundred sixteen thousand, twenty".