105118000 has 120 divisors (see below), whose sum is σ = 276116256. Its totient is φ = 38688000.

The previous prime is 105117979. The next prime is 105118001. The reversal of 105118000 is 811501.

It is a super-2 number, since 2×105118000² = 22099587848000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (105118001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337845 + ... + 338155.

Almost surely, 2^105118000 is an apocalyptic number.

105118000 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 105118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138058128).

105118000 is an abundant number, since it is smaller than the sum of its proper divisors (170998256).

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

105118000 is a wasteful number, since it uses less digits than its factorization.

105118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 105118000 is about 10252.7069596278. The cubic root of 105118000 is about 471.9460581849.

Adding to 105118000 its reverse (811501), we get a palindrome (105929501).

The spelling of 105118000 in words is "one hundred five million, one hundred eighteen thousand".