2018106000 has 240 divisors, whose sum is σ = 7097545728. Its totient is φ = 534432000.

The previous prime is 2018105981. The next prime is 2018106001. The reversal of 2018106000 is 6018102.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (2018106001) 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, 3437707 + ... + 3438293.

Almost surely, 2^2018106000 is an apocalyptic number.

2018106000 is a gapful number since it is divisible by the number (20) 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 2018106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548772864).

2018106000 is an abundant number, since it is smaller than the sum of its proper divisors (5079439728).

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

2018106000 is a wasteful number, since it uses less digits than its factorization.

2018106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2018106000 is about 44923.3346936756. The cubic root of 2018106000 is about 1263.7116557735.

The spelling of 2018106000 in words is "two billion, eighteen million, one hundred six thousand".