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105677706 = 2317612951
BaseRepresentation
bin1100100110010…
…00001110001010
321100211222120010
412103020032022
5204023141311
614253012350
72422150161
oct623101612
9240758503
10105677706
115471a252
122b4840b6
1318b80bb4
141006c3d8
159426da6
hex64c838a

105677706 has 8 divisors (see below), whose sum is σ = 211355424. Its totient is φ = 35225900.

The previous prime is 105677701. The next prime is 105677731. The reversal of 105677706 is 607776501.

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

105677706 is an admirable number.

It is a super-2 number, since 2×1056777062 = 22335555090844872, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105677701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8806470 + ... + 8806481.

It is an arithmetic number, because the mean of its divisors is an integer number (26419428).

Almost surely, 2105677706 is an apocalyptic number.

105677706 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105677706 is a wasteful number, since it uses less digits than its factorization.

105677706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612956.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 105677706 is about 10279.9662450808. The cubic root of 105677706 is about 472.7822092847.

The spelling of 105677706 in words is "one hundred five million, six hundred seventy-seven thousand, seven hundred six".

Divisors: 1 2 3 6 17612951 35225902 52838853 105677706