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106088806665 = 32537619471103
BaseRepresentation
bin110001011001101100…
…0101011100100001001
3101010211111210202202200
41202303120223210021
53214232213303130
6120423031150413
710443656656302
oct1426330534411
9333744722680
10106088806665
1140aa0402726
1218688b15409
13a00910021a
1451c59897a9
152b5da65760
hex18b362b909

106088806665 has 96 divisors (see below), whose sum is σ = 192330118656. Its totient is φ = 54042785280.

The previous prime is 106088806651. The next prime is 106088806679. The reversal of 106088806665 is 566608880601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106088806651) and next prime (106088806679).

It is not a de Polignac number, because 106088806665 - 25 = 106088806633 is a prime.

It is a super-2 number, since 2×1060888066652 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96181504 + ... + 96182606.

It is an arithmetic number, because the mean of its divisors is an integer number (2003438736).

Almost surely, 2106088806665 is an apocalyptic number.

106088806665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106088806665 is a deficient number, since it is larger than the sum of its proper divisors (86241311991).

106088806665 is a wasteful number, since it uses less digits than its factorization.

106088806665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 106088806665 in words is "one hundred six billion, eighty-eight million, eight hundred six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 61 111 183 185 305 333 549 555 915 947 1103 1665 2257 2745 2841 3309 4735 5515 6771 8523 9927 11285 14205 16545 20313 33855 35039 40811 42615 49635 57767 67283 101565 105117 122433 173301 175195 201849 204055 288835 315351 336415 367299 519903 525585 605547 612165 866505 1009245 1044541 1576755 1836495 2137379 2489471 2599515 3027735 3133623 5222705 6412137 7468413 9400869 10686895 12447355 15668115 19236411 22405239 32060685 37342065 38648017 47004345 63717001 96182055 112026195 115944051 191151003 193240085 318585005 347832153 573453009 579720255 955755015 1739160765 2357529037 2867265045 7072587111 11787645185 21217761333 35362935555 106088806665