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106319475 = 3252598009
BaseRepresentation
bin1100101011001…
…00111001110011
321102001120220100
412111210321303
5204204210400
614314443443
72430462213
oct625447163
9242046810
10106319475
1155018439
122b733583
1319047042
1410198243
159502100
hex6564e73

106319475 has 36 divisors (see below), whose sum is σ = 193681800. Its totient is φ = 55735680.

The previous prime is 106319471. The next prime is 106319483. The reversal of 106319475 is 574913601.

106319475 is a `hidden beast` number, since 10 + 631 + 9 + 4 + 7 + 5 = 666.

It is not a de Polignac number, because 106319475 - 22 = 106319471 is a prime.

It is a super-2 number, since 2×1063194752 = 22607661528551250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106319471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9271 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (5380050).

Almost surely, 2106319475 is an apocalyptic number.

106319475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106319475 is a deficient number, since it is larger than the sum of its proper divisors (87362325).

106319475 is a wasteful number, since it uses less digits than its factorization.

106319475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106319475 is about 10311.1335458329. The cubic root of 106319475 is about 473.7373297642.

The spelling of 106319475 in words is "one hundred six million, three hundred nineteen thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 59 75 177 225 295 531 885 1475 2655 4425 8009 13275 24027 40045 72081 120135 200225 360405 472531 600675 1417593 1802025 2362655 4252779 7087965 11813275 21263895 35439825 106319475