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106974465 = 35132192221
BaseRepresentation
bin1100110000001…
…00110100000001
321110021212101020
412120010310001
5204341140330
614340500053
72436160623
oct630046401
9243255336
10106974465
1155425554
122b9aa629
1319216200
14102c8c13
1595d1210
hex6604d01

106974465 has 48 divisors (see below), whose sum is σ = 195180480. Its totient is φ = 49870080.

The previous prime is 106974409. The next prime is 106974473. The reversal of 106974465 is 564479601.

It is not a de Polignac number, because 106974465 - 27 = 106974337 is a prime.

It is a super-2 number, since 2×1069744652 = 22887072324072450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47055 + ... + 49275.

It is an arithmetic number, because the mean of its divisors is an integer number (4066260).

Almost surely, 2106974465 is an apocalyptic number.

106974465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106974465 is a deficient number, since it is larger than the sum of its proper divisors (88206015).

106974465 is a wasteful number, since it uses less digits than its factorization.

106974465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 106974465 is about 10342.8460783287. The cubic root of 106974465 is about 474.7081716217.

The spelling of 106974465 in words is "one hundred six million, nine hundred seventy-four thousand, four hundred sixty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 169 195 247 285 507 741 845 1235 2221 2535 3211 3705 6663 9633 11105 16055 28873 33315 42199 48165 86619 126597 144365 210995 375349 433095 548587 632985 1126047 1645761 1876745 2742935 5630235 7131631 8228805 21394893 35658155 106974465