105055121006451 has 96 divisors (see below), whose sum is σ = 189958863384576. Its totient is φ = 54352648440000.

The previous prime is 105055121006389. The next prime is 105055121006519. The reversal of 105055121006451 is 154600121550501.

105055121006451 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 5 + 1 + 2 + 1 + 0 + 0 + 645 + 1 = 666.

It is not a de Polignac number, because 105055121006451 - 2⁷ = 105055121006323 is a prime.

It is a super-2 number, since 2×105055121006451² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055121005451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255620476 + ... + 256031126.

It is an arithmetic number, because the mean of its divisors is an integer number (1978738160256).

Almost surely, 2^{105055121006451} is an apocalyptic number.

105055121006451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105055121006451 is a deficient number, since it is larger than the sum of its proper divisors (84903742378125).

105055121006451 is a wasteful number, since it uses less digits than its factorization.

105055121006451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412173 (or 412170 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 105055121006451 its reverse (154600121550501), we get a palindrome (259655242556952).

The spelling of 105055121006451 in words is "one hundred five trillion, fifty-five billion, one hundred twenty-one million, six thousand, four hundred fifty-one".