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106610601585 = 3515234666693
BaseRepresentation
bin110001101001001111…
…1001010111001110001
3101012011212122200211110
41203102133022321301
53221314303222320
6120550511103533
710462624106265
oct1432237127161
9335155580743
10106610601585
11412389a59a4
12187b3811ba9
13a090246707
145234db60a5
152b8e7865e0
hex18d27cae71

106610601585 has 16 divisors (see below), whose sum is σ = 170688999744. Its totient is φ = 56821641792.

The previous prime is 106610601583. The next prime is 106610601613. The reversal of 106610601585 is 585106016601.

It is not a de Polignac number, because 106610601585 - 21 = 106610601583 is a prime.

It is a super-2 number, since 2×1066106015852 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106610601583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310502 + ... + 2356191.

It is an arithmetic number, because the mean of its divisors is an integer number (10668062484).

Almost surely, 2106610601585 is an apocalyptic number.

106610601585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106610601585 is a deficient number, since it is larger than the sum of its proper divisors (64078398159).

106610601585 is a wasteful number, since it uses less digits than its factorization.

106610601585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668224.

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 106610601585 in words is "one hundred six billion, six hundred ten million, six hundred one thousand, five hundred eighty-five".

Divisors: 1 3 5 15 1523 4569 7615 22845 4666693 14000079 23333465 70000395 7107373439 21322120317 35536867195 106610601585