103218000 has 80 divisors (see below), whose sum is σ = 332794176. Its totient is φ = 27523200.

The previous prime is 103217993. The next prime is 103218007. The reversal of 103218000 is 812301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103217993) and next prime (103218007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103218007) 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, 2602 + ... + 14601.

Almost surely, 2^103218000 is an apocalyptic number.

103218000 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 103218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166397088).

103218000 is an abundant number, since it is smaller than the sum of its proper divisors (229576176).

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

103218000 is a wasteful number, since it uses less digits than its factorization.

103218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17229 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 103218000 is about 10159.6259773675. The cubic root of 103218000 is about 469.0852890051.

The spelling of 103218000 in words is "one hundred three million, two hundred eighteen thousand".