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105682206 = 2372986767
BaseRepresentation
bin1100100110010…
…01010100011110
321100212012201210
412103021110132
5204023312311
614253045250
72422166250
oct623112436
9240765653
10105682206
1154722673
122b486826
1318b82c66
141006dcd0
1594283a6
hex64c951e

105682206 has 32 divisors (see below), whose sum is σ = 249891840. Its totient is φ = 29153376.

The previous prime is 105682201. The next prime is 105682207. The reversal of 105682206 is 602286501.

It is a super-2 number, since 2×1056822062 = 22337457330052872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682201) 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 15 ways as a sum of consecutive naturals, for example, 42166 + ... + 44601.

It is an arithmetic number, because the mean of its divisors is an integer number (7809120).

Almost surely, 2105682206 is an apocalyptic number.

105682206 is an abundant number, since it is smaller than the sum of its proper divisors (144209634).

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

105682206 is a wasteful number, since it uses less digits than its factorization.

105682206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86808.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105682206 is about 10280.1851150648. The cubic root of 105682206 is about 472.7889199078.

The spelling of 105682206 in words is "one hundred five million, six hundred eighty-two thousand, two hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 86767 173534 260301 520602 607369 1214738 1822107 2516243 3644214 5032486 7548729 15097458 17613701 35227402 52841103 105682206