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106113175 = 5272292103
BaseRepresentation
bin1100101001100…
…10100010010111
321101200002220121
412110302202113
5204131110200
614310212411
72425642600
oct624624227
9241602817
10106113175
1154997443
122b654107
1318ca417c
1410142da7
1594b0e1a
hex6532897

106113175 has 54 divisors (see below), whose sum is σ = 160061928. Its totient is φ = 69572160.

The previous prime is 106113149. The next prime is 106113209. The reversal of 106113175 is 571311601.

It is not a de Polignac number, because 106113175 - 25 = 106113143 is a prime.

It is a super-2 number, since 2×1061131752 = 22520011817161250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1030174 + ... + 1030276.

Almost surely, 2106113175 is an apocalyptic number.

106113175 is a deficient number, since it is larger than the sum of its proper divisors (53948753).

106113175 is a wasteful number, since it uses less digits than its factorization.

106113175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 106113175 is about 10301.1249385686. The cubic root of 106113175 is about 473.4307214916.

Adding to 106113175 its reverse (571311601), we get a palindrome (677424776).

The spelling of 106113175 in words is "one hundred six million, one hundred thirteen thousand, one hundred seventy-five".

Divisors: 1 5 7 25 29 35 49 103 145 175 203 245 515 721 725 841 1015 1225 1421 2575 2987 3605 4205 5047 5075 5887 7105 14935 18025 20909 21025 25235 29435 35525 41209 74675 86623 104545 126175 146363 147175 206045 433115 522725 606361 731815 1030225 2165575 3031805 3659075 4244527 15159025 21222635 106113175