105043121400 has 192 divisors, whose sum is σ = 384986073600. Its totient is φ = 23181903360.

The previous prime is 105043121387. The next prime is 105043121401. The reversal of 105043121400 is 4121340501.

It is a super-2 number, since 2×105043121400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309412 + ... + 553011.

It is an arithmetic number, because the mean of its divisors is an integer number (2005135800).

Almost surely, 2^105043121400 is an apocalyptic number.

105043121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105043121400 is an abundant number, since it is smaller than the sum of its proper divisors (279942952200).

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

105043121400 is a wasteful number, since it uses less digits than its factorization.

105043121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862478 (or 862469 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 105043121400 its reverse (4121340501), we get a palindrome (109164461901).

The spelling of 105043121400 in words is "one hundred five billion, forty-three million, one hundred twenty-one thousand, four hundred".