105450424510144 has 28 divisors (see below), whose sum is σ = 239146498443664. Its totient is φ = 45193039075584.

The previous prime is 105450424510063. The next prime is 105450424510201. The reversal of 105450424510144 is 441015424054501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×105450424510144² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105450424510097 and 105450424510106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117690205479 + ... + 117690206374.

It is an arithmetic number, because the mean of its divisors is an integer number (8540946372988).

Almost surely, 2^{105450424510144} is an apocalyptic number.

105450424510144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105450424510144 is an abundant number, since it is smaller than the sum of its proper divisors (133696073933520).

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

105450424510144 is an equidigital number, since it uses as much as digits as its factorization.

105450424510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235380411872 (or 235380411862 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

Adding to 105450424510144 its reverse (441015424054501), we get a palindrome (546465848564645).

The spelling of 105450424510144 in words is "one hundred five trillion, four hundred fifty billion, four hundred twenty-four million, five hundred ten thousand, one hundred forty-four".