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106005161475 = 325219103240743
BaseRepresentation
bin110001010111001100…
…1100110011000000011
3101010121200102011010200
41202232121212120003
53214044310131400
6120410442300243
710441623001623
oct1425631463003
9333550364120
10106005161475
1140a58171874
1218664ab7683
139cc4994925
1451b8814883
152b56541b00
hex18ae666603

106005161475 has 72 divisors (see below), whose sum is σ = 201801250560. Its totient is φ = 53040277440.

The previous prime is 106005161467. The next prime is 106005161477. The reversal of 106005161475 is 574161500601.

It is a happy number.

106005161475 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 516 + 14 + 75 = 666.

It is not a de Polignac number, because 106005161475 - 23 = 106005161467 is a prime.

It is a super-2 number, since 2×1060051614752 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005161477) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 319954 + ... + 560696.

Almost surely, 2106005161475 is an apocalyptic number.

106005161475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106005161475 is a deficient number, since it is larger than the sum of its proper divisors (95796089085).

106005161475 is a wasteful number, since it uses less digits than its factorization.

106005161475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240881 (or 240873 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 106005161475 in words is "one hundred six billion, five million, one hundred sixty-one thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 103 171 225 285 309 475 515 855 927 1425 1545 1957 2575 4275 4635 5871 7725 9785 17613 23175 29355 48925 88065 146775 240743 440325 722229 1203715 2166687 3611145 4574117 6018575 10833435 13722351 18055725 22870585 24796529 41167053 54167175 68611755 74389587 114352925 123982645 205835265 223168761 343058775 371947935 471134051 619913225 1029176325 1115843805 1413402153 1859739675 2355670255 4240206459 5579219025 7067010765 11778351275 21201032295 35335053825 106005161475