106704740241 has 48 divisors (see below), whose sum is σ = 173659749120. Its totient is φ = 62574996960.

The previous prime is 106704740203. The next prime is 106704740249. The reversal of 106704740241 is 142047407601.

It is a happy number.

106704740241 is a `hidden beast` number, since 106 + 70 + 47 + 402 + 41 = 666.

It is not a de Polignac number, because 106704740241 - 2¹⁴ = 106704723857 is a prime.

It is a super-2 number, since 2×106704740241² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106704740196 and 106704740205.

It is not an unprimeable number, because it can be changed into a prime (106704740249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338370 + ... + 572628.

It is an arithmetic number, because the mean of its divisors is an integer number (3617911440).

Almost surely, 2^106704740241 is an apocalyptic number.

106704740241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106704740241 is a deficient number, since it is larger than the sum of its proper divisors (66955008879).

106704740241 is a wasteful number, since it uses less digits than its factorization.

106704740241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234426 (or 234423 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 106704740241 in words is "one hundred six billion, seven hundred four million, seven hundred forty thousand, two hundred forty-one".