105442211504 has 40 divisors (see below), whose sum is σ = 233554813440. Its totient is φ = 45174881088.

The previous prime is 105442211477. The next prime is 105442211507. The reversal of 105442211504 is 405112244501.

It is a happy number.

It is a super-2 number, since 2×105442211504² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105442211507) 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, 198407 + ... + 500249.

It is an arithmetic number, because the mean of its divisors is an integer number (5838870336).

Almost surely, 2^105442211504 is an apocalyptic number.

105442211504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105442211504 is an abundant number, since it is smaller than the sum of its proper divisors (128112601936).

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

105442211504 is a wasteful number, since it uses less digits than its factorization.

105442211504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304977 (or 304971 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 105442211504 in words is "one hundred five billion, four hundred forty-two million, two hundred eleven thousand, five hundred four".