106806458717300 has 18 divisors (see below), whose sum is σ = 231770015416758. Its totient is φ = 42722583486880.

The previous prime is 106806458717297. The next prime is 106806458717353. The reversal of 106806458717300 is 3717854608601.

It can be written as a sum of positive squares in 3 ways, for example, as 9752554376464 + 97053904340836 = 3122908^2 + 9851594^2 .

It is a super-2 number, since 2×106806458717300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 534032293487 + ... + 534032293686.

Almost surely, 2^{106806458717300} is an apocalyptic number.

106806458717300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106806458717300 is an abundant number, since it is smaller than the sum of its proper divisors (124963556699458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106806458717300 is a wasteful number, since it uses less digits than its factorization.

106806458717300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068064587187 (or 1068064587180 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 106806458717300 in words is "one hundred six trillion, eight hundred six billion, four hundred fifty-eight million, seven hundred seventeen thousand, three hundred".