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106679375 = 541159263
BaseRepresentation
bin1100101101111…
…00110001001111
321102201212120222
412112330301033
5204302220000
614330301555
72433521405
oct626746117
9242655528
10106679375
1155243880
122b8878bb
1319141aba
141024d475
159573a85
hex65bcc4f

106679375 has 40 divisors (see below), whose sum is σ = 148452480. Its totient is φ = 75980000.

The previous prime is 106679351. The next prime is 106679387. The reversal of 106679375 is 573976601.

It is not a de Polignac number, because 106679375 - 212 = 106675279 is a prime.

It is a super-2 number, since 2×1066793752 = 22760978100781250, 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 39 ways as a sum of consecutive naturals, for example, 405494 + ... + 405756.

It is an arithmetic number, because the mean of its divisors is an integer number (3711312).

Almost surely, 2106679375 is an apocalyptic number.

106679375 is a deficient number, since it is larger than the sum of its proper divisors (41773105).

106679375 is an equidigital number, since it uses as much as digits as its factorization.

106679375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 106679375 is about 10328.5708111045. The cubic root of 106679375 is about 474.2712740948.

The spelling of 106679375 in words is "one hundred six million, six hundred seventy-nine thousand, three hundred seventy-five".

Divisors: 1 5 11 25 55 59 125 263 275 295 625 649 1315 1375 1475 2893 3245 6575 6875 7375 14465 15517 16225 32875 36875 72325 77585 81125 164375 170687 361625 387925 405625 853435 1808125 1939625 4267175 9698125 21335875 106679375