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106372169 = 73219961
BaseRepresentation
bin1100101011100…
…01110001001001
321102011021011222
412111301301021
5204212402134
614315531425
72431101641
oct625616111
9242137158
10106372169
1155053a92
122b759b75
1319065017
14101ad521
159512a2e
hex6571c49

106372169 has 6 divisors (see below), whose sum is σ = 107854686. Its totient is φ = 104909760.

The previous prime is 106372121. The next prime is 106372181. The reversal of 106372169 is 961273601.

It can be written as a sum of positive squares in 3 ways, for example, as 46076944 + 60295225 = 6788^2 + 7765^2 .

It is not a de Polignac number, because 106372169 - 216 = 106306633 is a prime.

It is a super-2 number, since 2×1063721692 = 22630076675529122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106372109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4652 + ... + 15309.

It is an arithmetic number, because the mean of its divisors is an integer number (17975781).

Almost surely, 2106372169 is an apocalyptic number.

It is an amenable number.

106372169 is a deficient number, since it is larger than the sum of its proper divisors (1482517).

106372169 is an frugal number, since it uses more digits than its factorization.

106372169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20107 (or 20034 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 106372169 is about 10313.6884284915. The cubic root of 106372169 is about 473.8155813166.

The spelling of 106372169 in words is "one hundred six million, three hundred seventy-two thousand, one hundred sixty-nine".

Divisors: 1 73 5329 19961 1457153 106372169