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106314135 = 3537223859
BaseRepresentation
bin1100101011000…
…11100110010111
321102001022120120
412111203212113
5204204023020
614314403023
72430440514
oct625434627
9242038516
10106314135
1155014424
122b730473
1319044795
141019630b
159500740
hex6563997

106314135 has 32 divisors (see below), whose sum is σ = 175687680. Its totient is φ = 54857088.

The previous prime is 106314133. The next prime is 106314137. The reversal of 106314135 is 531413601.

It is an interprime number because it is at equal distance from previous prime (106314133) and next prime (106314137).

It is not a de Polignac number, because 106314135 - 21 = 106314133 is a prime.

It is a super-2 number, since 2×1063141352 = 22605390601596450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123336 + ... + 124194.

It is an arithmetic number, because the mean of its divisors is an integer number (5490240).

Almost surely, 2106314135 is an apocalyptic number.

106314135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106314135 is a deficient number, since it is larger than the sum of its proper divisors (69373545).

106314135 is a wasteful number, since it uses less digits than its factorization.

106314135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106314135 is about 10310.8745991793. The cubic root of 106314135 is about 473.7293983239.

Adding to 106314135 its reverse (531413601), we get a palindrome (637727736).

The spelling of 106314135 in words is "one hundred six million, three hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 15 37 111 185 223 555 669 859 1115 2577 3345 4295 8251 12885 24753 31783 41255 95349 123765 158915 191557 476745 574671 957785 2873355 7087609 21262827 35438045 106314135