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105680634 = 23149118211
BaseRepresentation
bin1100100110010…
…00111011111010
321100212010120120
412103020323322
5204023240014
614253034110
72422161543
oct623107372
9240763516
10105680634
1154721474
122b485936
1318b82327
141006d4ca
159427ba9
hex64c8efa

105680634 has 16 divisors (see below), whose sum is σ = 212781600. Its totient is φ = 34990160.

The previous prime is 105680633. The next prime is 105680639. The reversal of 105680634 is 436086501.

It is a super-2 number, since 2×1056806342 = 22336792805283912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 105680595 and 105680604.

It is not an unprimeable number, because it can be changed into a prime (105680633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58212 + ... + 59999.

It is an arithmetic number, because the mean of its divisors is an integer number (13298850).

Almost surely, 2105680634 is an apocalyptic number.

105680634 is an abundant number, since it is smaller than the sum of its proper divisors (107100966).

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

105680634 is a wasteful number, since it uses less digits than its factorization.

105680634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118365.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105680634 is about 10280.1086570133. The cubic root of 105680634 is about 472.7865756851.

The spelling of 105680634 in words is "one hundred five million, six hundred eighty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 149 298 447 894 118211 236422 354633 709266 17613439 35226878 52840317 105680634