105018012 has 96 divisors (see below), whose sum is σ = 300115200. Its totient is φ = 31492800.

The previous prime is 105018007. The next prime is 105018037. The reversal of 105018012 is 210810501.

It is a super-3 number, since 3×105018012³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129087 + ... + 129897.

It is an arithmetic number, because the mean of its divisors is an integer number (3126200).

Almost surely, 2^105018012 is an apocalyptic number.

105018012 is a gapful number since it is divisible by the number (12) 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 105018012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150057600).

105018012 is an abundant number, since it is smaller than the sum of its proper divisors (195097188).

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

105018012 is a wasteful number, since it uses less digits than its factorization.

105018012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 105018012 is about 10247.8296238765. The cubic root of 105018012 is about 471.7963727128.

Adding to 105018012 its reverse (210810501), we get a palindrome (315828513).

The spelling of 105018012 in words is "one hundred five million, eighteen thousand, twelve".