105000302420 has 48 divisors (see below), whose sum is σ = 247786680960. Its totient is φ = 37083716736.

The previous prime is 105000302417. The next prime is 105000302441. The reversal of 105000302420 is 24203000501.

It is a super-2 number, since 2×105000302420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8773310 + ... + 8785269.

It is an arithmetic number, because the mean of its divisors is an integer number (5162222520).

Almost surely, 2^105000302420 is an apocalyptic number.

105000302420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000302420 is an abundant number, since it is smaller than the sum of its proper divisors (142786378540).

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

105000302420 is a wasteful number, since it uses less digits than its factorization.

105000302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558624 (or 17558622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 105000302420 its reverse (24203000501), we get a palindrome (129203302921).

The spelling of 105000302420 in words is "one hundred five billion, three hundred two thousand, four hundred twenty".