103818000 has 320 divisors, whose sum is σ = 396474624. Its totient is φ = 23232000.

The previous prime is 103817983. The next prime is 103818007. The reversal of 103818000 is 818301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103818007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7985994 + ... + 7986006.

Almost surely, 2^103818000 is an apocalyptic number.

103818000 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 103818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198237312).

103818000 is an abundant number, since it is smaller than the sum of its proper divisors (292656624).

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

103818000 is a wasteful number, since it uses less digits than its factorization.

103818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 103818000 is about 10189.1118356803. Note that the first 3 decimals coincide. The cubic root of 103818000 is about 469.9924549868.

It can be divided in two parts, 10381 and 8000, that added together give a palindrome (18381).

The spelling of 103818000 in words is "one hundred three million, eight hundred eighteen thousand".