Search a number
-
+
106643670 = 2357507827
BaseRepresentation
bin1100101101101…
…00000011010110
321102200001121120
412112310003112
5204300044140
614325424410
72433312330
oct626640326
9242601546
10106643670
1155219a71
122b86b106
131912b783
1410240450
1595681d0
hex65b40d6

106643670 has 32 divisors (see below), whose sum is σ = 292508928. Its totient is φ = 24375648.

The previous prime is 106643659. The next prime is 106643681. The reversal of 106643670 is 76346601.

It is an interprime number because it is at equal distance from previous prime (106643659) and next prime (106643681).

It is a super-2 number, since 2×1066436702 = 22745744702137800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 253704 + ... + 254123.

It is an arithmetic number, because the mean of its divisors is an integer number (9140904).

Almost surely, 2106643670 is an apocalyptic number.

106643670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106643670 is an abundant number, since it is smaller than the sum of its proper divisors (185865258).

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

106643670 is a wasteful number, since it uses less digits than its factorization.

106643670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507844.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 106643670 is about 10326.8422085360. The cubic root of 106643670 is about 474.2183561951.

The spelling of 106643670 in words is "one hundred six million, six hundred forty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 507827 1015654 1523481 2539135 3046962 3554789 5078270 7109578 7617405 10664367 15234810 17773945 21328734 35547890 53321835 106643670