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106814151 = 3289133351
BaseRepresentation
bin1100101110111…
…01101011000111
321102222201110200
412113131223013
5204321023101
614333221543
72434622343
oct627355307
9242881420
10106814151
1155326064
122b9318b3
131918b252
1410286623
15959d986
hex65ddac7

106814151 has 12 divisors (see below), whose sum is σ = 156021840. Its totient is φ = 70408800.

The previous prime is 106814137. The next prime is 106814167. The reversal of 106814151 is 151418601.

It is not a de Polignac number, because 106814151 - 26 = 106814087 is a prime.

It is a super-2 number, since 2×1068141512 = 22818525707701602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106814171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65875 + ... + 67476.

It is an arithmetic number, because the mean of its divisors is an integer number (13001820).

Almost surely, 2106814151 is an apocalyptic number.

106814151 is a deficient number, since it is larger than the sum of its proper divisors (49207689).

106814151 is a wasteful number, since it uses less digits than its factorization.

106814151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133446 (or 133443 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 106814151 is about 10335.0931780996. The cubic root of 106814151 is about 474.4709174518.

The spelling of 106814151 in words is "one hundred six million, eight hundred fourteen thousand, one hundred fifty-one".

Divisors: 1 3 9 89 267 801 133351 400053 1200159 11868239 35604717 106814151