105003351330 has 32 divisors (see below), whose sum is σ = 252022506624. Its totient is φ = 27999286656.

The previous prime is 105003351319. The next prime is 105003351521. The reversal of 105003351330 is 33153300501.

It is a super-3 number, since 3×105003351330³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105003351330.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487387 + ... + 668993.

It is an arithmetic number, because the mean of its divisors is an integer number (7875703332).

Almost surely, 2^105003351330 is an apocalyptic number.

105003351330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105003351330 is an abundant number, since it is smaller than the sum of its proper divisors (147019155294).

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

105003351330 is a wasteful number, since it uses less digits than its factorization.

105003351330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200890.

The product of its (nonzero) digits is 2025, while the sum is 24.

Adding to 105003351330 its reverse (33153300501), we get a palindrome (138156651831).

The spelling of 105003351330 in words is "one hundred five billion, three million, three hundred fifty-one thousand, three hundred thirty".