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106600632255 = 3351360741101
BaseRepresentation
bin110001101000111100…
…1001000111110111111
3101012011011220012111000
41203101321020332333
53221304230213010
6120545513301343
710462443265215
oct1432171107677
9335134805430
10106600632255
1141233306887
12187b0404853
13a08b165ac0
14523393ccb5
152b8d9677c0
hex18d1e48fbf

106600632255 has 32 divisors (see below), whose sum is σ = 204090102720. Its totient is φ = 52480310400.

The previous prime is 106600632247. The next prime is 106600632269. The reversal of 106600632255 is 552236006601.

It is a happy number.

106600632255 is a `hidden beast` number, since 10 + 6 + 6 + 0 + 0 + 632 + 2 + 5 + 5 = 666.

It is not a de Polignac number, because 106600632255 - 23 = 106600632247 is a prime.

It is a super-2 number, since 2×1066006322552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30368796 + ... + 30372305.

It is an arithmetic number, because the mean of its divisors is an integer number (6377815710).

Almost surely, 2106600632255 is an apocalyptic number.

106600632255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106600632255 is a deficient number, since it is larger than the sum of its proper divisors (97489470465).

106600632255 is a wasteful number, since it uses less digits than its factorization.

106600632255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60741128 (or 60741122 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 106600632255 its reverse (552236006601), we get a palindrome (658836638856).

The spelling of 106600632255 in words is "one hundred six billion, six hundred million, six hundred thirty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 60741101 182223303 303705505 546669909 789634313 911116515 1640009727 2368902939 2733349545 3948171565 7106708817 8200048635 11844514695 21320126451 35533544085 106600632255