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106601555597 = 1727722637833
BaseRepresentation
bin110001101000111110…
…0101010011010001101
3101012011020122010001212
41203101330222122031
53221304444234342
6120545545144205
710462454162165
oct1432174523215
9335136563055
10106601555597
1141233887579
12187b078b065
13a08b3ca164
145233add5a5
152b8da9b182
hex18d1f2a68d

106601555597 has 8 divisors (see below), whose sum is σ = 113279721336. Its totient is φ = 99968666112.

The previous prime is 106601555537. The next prime is 106601555609. The reversal of 106601555597 is 795555106601.

It can be written as a sum of positive squares in 4 ways, for example, as 11749259236 + 94852296361 = 108394^2 + 307981^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106601555597 - 220 = 106600507021 is a prime.

It is a super-2 number, since 2×1066015555972 (a number of 23 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 (106601555527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11314208 + ... + 11323625.

It is an arithmetic number, because the mean of its divisors is an integer number (14159965167).

Almost surely, 2106601555597 is an apocalyptic number.

106601555597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106601555597 is a deficient number, since it is larger than the sum of its proper divisors (6678165739).

106601555597 is a wasteful number, since it uses less digits than its factorization.

106601555597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22638127.

The product of its (nonzero) digits is 1417500, while the sum is 50.

The spelling of 106601555597 in words is "one hundred six billion, six hundred one million, five hundred fifty-five thousand, five hundred ninety-seven".

Divisors: 1 17 277 4709 22637833 384843161 6270679741 106601555597