106824274498917 has 16 divisors (see below), whose sum is σ = 158286602368000. Its totient is φ = 71203394932992.

The previous prime is 106824274498901. The next prime is 106824274498919. The reversal of 106824274498917 is 719894472428601.

106824274498917 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 2 + 42 + 7 + 4 + 498 + 91 + 7 = 666.

It is not a de Polignac number, because 106824274498917 - 2⁴ = 106824274498901 is a prime.

It is a super-2 number, since 2×106824274498917² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824274498919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355070917 + ... + 355371642.

It is an arithmetic number, because the mean of its divisors is an integer number (9892912648000).

Almost surely, 2^{106824274498917} is an apocalyptic number.

It is an amenable number.

106824274498917 is a deficient number, since it is larger than the sum of its proper divisors (51462327869083).

106824274498917 is an equidigital number, since it uses as much as digits as its factorization.

106824274498917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710448137 (or 710448131 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 106824274498917 in words is "one hundred six trillion, eight hundred twenty-four billion, two hundred seventy-four million, four hundred ninety-eight thousand, nine hundred seventeen".