10704751574121 has 80 divisors (see below), whose sum is σ = 17505595895040. Its totient is φ = 6465148462080.

The previous prime is 10704751574119. The next prime is 10704751574123. The reversal of 10704751574121 is 12147515740701.

10704751574121 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 7 + 51 + 574 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (10704751574119) and next prime (10704751574123).

It is not a de Polignac number, because 10704751574121 - 2¹ = 10704751574119 is a prime.

It is a super-2 number, since 2×10704751574121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10704751574123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 318871225 + ... + 318904793.

It is an arithmetic number, because the mean of its divisors is an integer number (218819948688).

Almost surely, 2^{10704751574121} is an apocalyptic number.

10704751574121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10704751574121 is a deficient number, since it is larger than the sum of its proper divisors (6800844320919).

10704751574121 is a wasteful number, since it uses less digits than its factorization.

10704751574121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34828 (or 34819 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 10704751574121 in words is "ten trillion, seven hundred four billion, seven hundred fifty-one million, five hundred seventy-four thousand, one hundred twenty-one".