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105682737 = 340986131
BaseRepresentation
bin1100100110010…
…01011100110001
321100212020110110
412103021130301
5204023321422
614253051533
72422200636
oct623113461
9240766413
10105682737
1154723006
122b486ba9
1318b83284
141007018d
15942860c
hex64c9731

105682737 has 8 divisors (see below), whose sum is σ = 141256480. Its totient is φ = 70282080.

The previous prime is 105682697. The next prime is 105682781. The reversal of 105682737 is 737286501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105682737 - 27 = 105682609 is a prime.

It is a super-2 number, since 2×1056827372 = 22337681799622338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105682695 and 105682704.

It is not an unprimeable number, because it can be changed into a prime (105682037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41839 + ... + 44292.

It is an arithmetic number, because the mean of its divisors is an integer number (17657060).

Almost surely, 2105682737 is an apocalyptic number.

It is an amenable number.

105682737 is a deficient number, since it is larger than the sum of its proper divisors (35573743).

105682737 is an equidigital number, since it uses as much as digits as its factorization.

105682737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86543.

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 105682737 is about 10280.2109414156. The cubic root of 105682737 is about 472.7897117487.

The spelling of 105682737 in words is "one hundred five million, six hundred eighty-two thousand, seven hundred thirty-seven".

Divisors: 1 3 409 1227 86131 258393 35227579 105682737