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105680636 = 221711031409
BaseRepresentation
bin1100100110010…
…00111011111100
321100212010120122
412103020323330
5204023240021
614253034112
72422161545
oct623107374
9240763518
10105680636
1154721476
122b485938
1318b82329
141006d4cc
159427bab
hex64c8efc

105680636 has 24 divisors (see below), whose sum is σ = 196136640. Its totient is φ = 49651712.

The previous prime is 105680633. The next prime is 105680639. The reversal of 105680636 is 636086501.

105680636 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105680633) and next prime (105680639).

It is a super-2 number, since 2×1056806362 = 22336793650728992, which contains 22 as substring.

105680636 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 105680596 and 105680605.

It is a congruent number.

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, 74300 + ... + 75708.

It is an arithmetic number, because the mean of its divisors is an integer number (8172360).

Almost surely, 2105680636 is an apocalyptic number.

It is an amenable number.

105680636 is a deficient number, since it is larger than the sum of its proper divisors (90456004).

105680636 is a wasteful number, since it uses less digits than its factorization.

105680636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 105680636 is about 10280.1087542885. The cubic root of 105680636 is about 472.7865786676.

The spelling of 105680636 in words is "one hundred five million, six hundred eighty thousand, six hundred thirty-six".

Divisors: 1 2 4 17 34 68 1103 1409 2206 2818 4412 5636 18751 23953 37502 47906 75004 95812 1554127 3108254 6216508 26420159 52840318 105680636