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106959318 = 2343414571
BaseRepresentation
bin1100110000000…
…01000111010110
321110021002121020
412120001013112
5204340144233
614340302010
72436065514
oct630010726
9243232536
10106959318
1155415134
122b9a1906
131920c34b
14102c34b4
1595cb9b3
hex66011d6

106959318 has 16 divisors (see below), whose sum is σ = 218894016. Its totient is φ = 34823880.

The previous prime is 106959317. The next prime is 106959319. The reversal of 106959318 is 813959601.

It is an interprime number because it is at equal distance from previous prime (106959317) and next prime (106959319).

It is a super-2 number, since 2×1069593182 = 22880591414050248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106959318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106959317) 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 7 ways as a sum of consecutive naturals, for example, 207028 + ... + 207543.

It is an arithmetic number, because the mean of its divisors is an integer number (13680876).

Almost surely, 2106959318 is an apocalyptic number.

106959318 is an abundant number, since it is smaller than the sum of its proper divisors (111934698).

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

106959318 is a wasteful number, since it uses less digits than its factorization.

106959318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414619.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 106959318 is about 10342.1138071479. The cubic root of 106959318 is about 474.6857652026.

The spelling of 106959318 in words is "one hundred six million, nine hundred fifty-nine thousand, three hundred eighteen".

Divisors: 1 2 3 6 43 86 129 258 414571 829142 1243713 2487426 17826553 35653106 53479659 106959318