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107100675 = 325211109397
BaseRepresentation
bin1100110001000…
…11101000000011
321110112021111200
412120203220003
5204404210200
614343312243
72440224603
oct630435003
9243467450
10107100675
1155501360
122ba4b683
131925b7a6
141031cc03
159608800
hex6623a03

107100675 has 72 divisors (see below), whose sum is σ = 211720080. Its totient is φ = 51321600.

The previous prime is 107100671. The next prime is 107100727. The reversal of 107100675 is 576001701.

It is not a de Polignac number, because 107100675 - 22 = 107100671 is a prime.

It is a super-2 number, since 2×1071006752 = 22941109170911250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107100671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269577 + ... + 269973.

Almost surely, 2107100675 is an apocalyptic number.

107100675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107100675 is a deficient number, since it is larger than the sum of its proper divisors (104619405).

107100675 is a wasteful number, since it uses less digits than its factorization.

107100675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107100675 is about 10348.9455984656. The cubic root of 107100675 is about 474.8947874081.

The spelling of 107100675 in words is "one hundred seven million, one hundred thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 109 165 225 275 327 397 495 545 825 981 1191 1199 1635 1985 2475 2725 3573 3597 4367 4905 5955 5995 8175 9925 10791 13101 17865 17985 21835 24525 29775 29975 39303 43273 53955 65505 89325 89925 109175 129819 196515 216365 269775 327525 389457 476003 649095 982575 1081825 1428009 1947285 2380015 3245475 4284027 7140045 9736425 11900075 21420135 35700225 107100675