102018000 has 240 divisors, whose sum is σ = 383707584. Its totient is φ = 23251200.

The previous prime is 102017999. The next prime is 102018001. The reversal of 102018000 is 810201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102017999) and next prime (102018001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102018001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293827 + ... + 294173.

Almost surely, 2^102018000 is an apocalyptic number.

102018000 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 102018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191853792).

102018000 is an abundant number, since it is smaller than the sum of its proper divisors (281689584).

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

102018000 is a wasteful number, since it uses less digits than its factorization.

102018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102018000 is about 10100.3960318395. The cubic root of 102018000 is about 467.2603555056.

Adding to 102018000 its reverse (810201), we get a palindrome (102828201).

The spelling of 102018000 in words is "one hundred two million, eighteen thousand".