105440241200 has 120 divisors (see below), whose sum is σ = 296570289120. Its totient is φ = 35269171200.

The previous prime is 105440241197. The next prime is 105440241229. The reversal of 105440241200 is 2142044501.

It is a super-2 number, since 2×105440241200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344435 + ... + 574034.

It is an arithmetic number, because the mean of its divisors is an integer number (2471419076).

Almost surely, 2^105440241200 is an apocalyptic number.

105440241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105440241200 is an abundant number, since it is smaller than the sum of its proper divisors (191130047920).

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

105440241200 is a wasteful number, since it uses less digits than its factorization.

105440241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918535 (or 918524 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 105440241200 its reverse (2142044501), we get a palindrome (107582285701).

The spelling of 105440241200 in words is "one hundred five billion, four hundred forty million, two hundred forty-one thousand, two hundred".