105042343404100 has 36 divisors (see below), whose sum is σ = 227942915750928. Its totient is φ = 42016747396000.

The previous prime is 105042343404059. The next prime is 105042343404127. The reversal of 105042343404100 is 1404343240501.

It is a super-2 number, since 2×105042343404100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20998815 + ... + 25515385.

It is an arithmetic number, because the mean of its divisors is an integer number (6331747659748).

Almost surely, 2^{105042343404100} is an apocalyptic number.

105042343404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105042343404100 is an abundant number, since it is smaller than the sum of its proper divisors (122900572346828).

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

105042343404100 is a wasteful number, since it uses less digits than its factorization.

105042343404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749156 (or 4749149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 105042343404100 its reverse (1404343240501), we get a palindrome (106446686644601).

The spelling of 105042343404100 in words is "one hundred five trillion, forty-two billion, three hundred forty-three million, four hundred four thousand, one hundred".