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106680975 = 3524134693
BaseRepresentation
bin1100101101111…
…01001010001111
321102201221210020
412112331022033
5204302242400
614330313223
72433526152
oct626751217
9242657706
10106680975
1155244aa5
122b888813
131914274b
141024dc99
1595742a0
hex65bd28f

106680975 has 24 divisors (see below), whose sum is σ = 180686352. Its totient is φ = 55507200.

The previous prime is 106680919. The next prime is 106681021. The reversal of 106680975 is 579086601.

It is not a de Polignac number, because 106680975 - 28 = 106680719 is a prime.

It is a super-2 number, since 2×1066809752 = 22761660853901250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14272 + ... + 20421.

It is an arithmetic number, because the mean of its divisors is an integer number (7528598).

Almost surely, 2106680975 is an apocalyptic number.

106680975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106680975 is a deficient number, since it is larger than the sum of its proper divisors (74005377).

106680975 is a wasteful number, since it uses less digits than its factorization.

106680975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34747 (or 34742 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 106680975 is about 10328.6482658671. The cubic root of 106680975 is about 474.2736451568.

The spelling of 106680975 in words is "one hundred six million, six hundred eighty thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 41 75 123 205 615 1025 3075 34693 104079 173465 520395 867325 1422413 2601975 4267239 7112065 21336195 35560325 106680975