105211442240 has 56 divisors (see below), whose sum is σ = 250629160920. Its totient is φ = 42068717568.

The previous prime is 105211442227. The next prime is 105211442269. The reversal of 105211442240 is 42244112501.

It can be written as a sum of positive squares in 4 ways, for example, as 60602622976 + 44608819264 = 246176^2 + 211208^2 .

It is a super-2 number, since 2×105211442240² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 807566 + ... + 928754.

Almost surely, 2^105211442240 is an apocalyptic number.

105211442240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105211442240 is an abundant number, since it is smaller than the sum of its proper divisors (145417718680).

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

105211442240 is a wasteful number, since it uses less digits than its factorization.

105211442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123919 (or 123909 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 105211442240 its reverse (42244112501), we get a palindrome (147455554741).

The spelling of 105211442240 in words is "one hundred five billion, two hundred eleven million, four hundred forty-two thousand, two hundred forty".