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106601050605 = 35747873761
BaseRepresentation
bin110001101000111101…
…0101111000111101101
3101012011012200110100110
41203101322233013231
53221304332104410
6120545530250233
710462446660000
oct1432172570755
9335135613313
10106601050605
1141233572125
12187b0586979
13a08b28134a
145233a0b537
152b8d9eb720
hex18d1eaf1ed

106601050605 has 80 divisors (see below), whose sum is σ = 199282590144. Its totient is φ = 48657047040.

The previous prime is 106601050513. The next prime is 106601050669. The reversal of 106601050605 is 506050106601.

It is not a de Polignac number, because 106601050605 - 218 = 106600788461 is a prime.

It is a super-2 number, since 2×1066010506052 (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 79 ways as a sum of consecutive naturals, for example, 28341925 + ... + 28345685.

Almost surely, 2106601050605 is an apocalyptic number.

106601050605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106601050605 is a deficient number, since it is larger than the sum of its proper divisors (92681539539).

106601050605 is an frugal number, since it uses more digits than its factorization.

106601050605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106601050605 in words is "one hundred six billion, six hundred one million, fifty thousand, six hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 787 1029 1715 2361 2401 3761 3935 5145 5509 7203 11283 11805 12005 16527 18805 26327 27545 36015 38563 56415 78981 82635 115689 131635 184289 192815 269941 394905 552867 578445 809823 921445 1290023 1349705 1889587 2764335 2959907 3870069 4049115 5668761 6450115 8879721 9030161 9447935 14799535 19350345 20719349 27090483 28343805 44398605 45150805 62158047 103596745 135452415 145035443 310790235 435106329 725177215 1015248101 2175531645 3045744303 5076240505 7106736707 15228721515 21320210121 35533683535 106601050605