105338990940 has 24 divisors (see below), whose sum is σ = 294949174800. Its totient is φ = 28090397568.

The previous prime is 105338990917. The next prime is 105338990941. The reversal of 105338990940 is 49099833501.

It is a happy number.

It is a super-2 number, since 2×105338990940² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105338990941) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 877824865 + ... + 877824984.

It is an arithmetic number, because the mean of its divisors is an integer number (12289548950).

Almost surely, 2^105338990940 is an apocalyptic number.

105338990940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105338990940 is an abundant number, since it is smaller than the sum of its proper divisors (189610183860).

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

105338990940 is a wasteful number, since it uses less digits than its factorization.

105338990940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755649861 (or 1755649859 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 105338990940 in words is "one hundred five billion, three hundred thirty-eight million, nine hundred ninety thousand, nine hundred forty".