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106616446205 = 5311242328297
BaseRepresentation
bin110001101001011010…
…1011101110011111101
3101012012021122122010212
41203102311131303331
53221322302234310
6120551240242205
710463024561063
oct1432265356375
9335167578125
10106616446205
1141241228065
12187b5770365
13a091511a79
145235a98033
152b9003d205
hex18d2d5dcfd

106616446205 has 16 divisors (see below), whose sum is σ = 128408626944. Its totient is φ = 84980810880.

The previous prime is 106616446129. The next prime is 106616446219. The reversal of 106616446205 is 502644616601.

It is not a de Polignac number, because 106616446205 - 228 = 106348010749 is a prime.

It is a super-3 number, since 3×1066164462053 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753617 + ... + 3781913.

It is an arithmetic number, because the mean of its divisors is an integer number (8025539184).

Almost surely, 2106616446205 is an apocalyptic number.

It is an amenable number.

106616446205 is a deficient number, since it is larger than the sum of its proper divisors (21792180739).

106616446205 is a wasteful number, since it uses less digits than its factorization.

106616446205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31036.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 106616446205 in words is "one hundred six billion, six hundred sixteen million, four hundred forty-six thousand, two hundred five".

Divisors: 1 5 311 1555 2423 12115 28297 141485 753553 3767765 8800367 44001835 68563631 342818155 21323289241 106616446205