105042322400 has 36 divisors (see below), whose sum is σ = 256434571512. Its totient is φ = 42016928640.

The previous prime is 105042322387. The next prime is 105042322409. The reversal of 105042322400 is 4223240501.

It is a happy number.

It is a super-2 number, since 2×105042322400² (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 (105042322409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65650652 + ... + 65652251.

It is an arithmetic number, because the mean of its divisors is an integer number (7123182542).

Almost surely, 2^105042322400 is an apocalyptic number.

105042322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105042322400 is an abundant number, since it is smaller than the sum of its proper divisors (151392249112).

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

105042322400 is a wasteful number, since it uses less digits than its factorization.

105042322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131302923 (or 131302910 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 105042322400 its reverse (4223240501), we get a palindrome (109265562901).

The spelling of 105042322400 in words is "one hundred five billion, forty-two million, three hundred twenty-two thousand, four hundred".