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105377146 = 273153611
BaseRepresentation
bin1100100011111…
…10110101111010
321100021201021021
412101332311322
5203434032041
614242333054
72416456000
oct621766572
9240251237
10105377146
1154534456
122b35a18a
1318aa7154
14ddd0a70
1593b7cd1
hex647ed7a

105377146 has 16 divisors (see below), whose sum is σ = 184334400. Its totient is φ = 45161340.

The previous prime is 105377143. The next prime is 105377161. The reversal of 105377146 is 641773501.

It is a super-2 number, since 2×1053771462 = 22208685798210632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105377141) 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 7 ways as a sum of consecutive naturals, for example, 76120 + ... + 77491.

It is an arithmetic number, because the mean of its divisors is an integer number (11520900).

Almost surely, 2105377146 is an apocalyptic number.

105377146 is a deficient number, since it is larger than the sum of its proper divisors (78957254).

105377146 is an equidigital number, since it uses as much as digits as its factorization.

105377146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153634 (or 153620 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 105377146 is about 10265.3371108795. The cubic root of 105377146 is about 472.3335673546. Note that the first 3 decimals are identical.

The spelling of 105377146 in words is "one hundred five million, three hundred seventy-seven thousand, one hundred forty-six".

Divisors: 1 2 7 14 49 98 343 686 153611 307222 1075277 2150554 7526939 15053878 52688573 105377146