100114543133505 has 96 divisors (see below), whose sum is σ = 177441271308288. Its totient is φ = 52194348518400.

The previous prime is 100114543133483. The next prime is 100114543133513. The reversal of 100114543133505 is 505331345411001.

100114543133505 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 14 + 5 + 4 + 3 + 133 + 505 = 666.

It is not a de Polignac number, because 100114543133505 - 2⁷ = 100114543133377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100114543133505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13382504365 + ... + 13382511845.

It is an arithmetic number, because the mean of its divisors is an integer number (1848346576128).

Almost surely, 2^{100114543133505} is an apocalyptic number.

100114543133505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100114543133505 is a deficient number, since it is larger than the sum of its proper divisors (77326728174783).

100114543133505 is a wasteful number, since it uses less digits than its factorization.

100114543133505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 100114543133505 its reverse (505331345411001), we get a palindrome (605445888544506).

The spelling of 100114543133505 in words is "one hundred trillion, one hundred fourteen billion, five hundred forty-three million, one hundred thirty-three thousand, five hundred five".