105218083340 has 48 divisors (see below), whose sum is σ = 246268965600. Its totient is φ = 37526694912.

The previous prime is 105218083337. The next prime is 105218083343. The reversal of 105218083340 is 43380812501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105218083337) and next prime (105218083343).

It is a super-2 number, since 2×105218083340² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105218083340.

It is not an unprimeable number, because it can be changed into a prime (105218083343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8137355 + ... + 8150274.

It is an arithmetic number, because the mean of its divisors is an integer number (5130603450).

Almost surely, 2^105218083340 is an apocalyptic number.

105218083340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105218083340 is an abundant number, since it is smaller than the sum of its proper divisors (141050882260).

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

105218083340 is a wasteful number, since it uses less digits than its factorization.

105218083340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16287674 (or 16287672 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

Adding to 105218083340 its reverse (43380812501), we get a palindrome (148598895841).

The spelling of 105218083340 in words is "one hundred five billion, two hundred eighteen million, eighty-three thousand, three hundred forty".