105201018 has 48 divisors (see below), whose sum is σ = 254575776. Its totient is φ = 32367600.

The previous prime is 105201017. The next prime is 105201029. The reversal of 105201018 is 810102501.

It is a super-2 number, since 2×105201018² = 22134508376472648, which contains 22 as substring.

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 (105201017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (5303662).

Almost surely, 2^105201018 is an apocalyptic number.

105201018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105201018 is an abundant number, since it is smaller than the sum of its proper divisors (149374758).

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

105201018 is a wasteful number, since it uses less digits than its factorization.

105201018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16681 (or 16669 counting only the distinct ones).

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

The square root of 105201018 is about 10256.7547499197. The cubic root of 105201018 is about 472.0702668777.

Adding to 105201018 its reverse (810102501), we get a palindrome (915303519).

The spelling of 105201018 in words is "one hundred five million, two hundred one thousand, eighteen".