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106206465 = 3531376173
BaseRepresentation
bin1100101010010…
…01010100000001
321101211211212210
412111021110001
5204142101330
614312212333
72426511561
oct625112401
9241754783
10106206465
1154a50542
122b69a0a9
1319007781
1410168da1
1594cd8b0
hex6549501

106206465 has 32 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 53326080.

The previous prime is 106206427. The next prime is 106206467. The reversal of 106206465 is 564602601.

It is not a de Polignac number, because 106206465 - 220 = 105157889 is a prime.

It is a super-2 number, since 2×1062064652 = 22559626415592450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106206467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14119 + ... + 20291.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688).

Almost surely, 2106206465 is an apocalyptic number.

106206465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106206465 is a deficient number, since it is larger than the sum of its proper divisors (73975551).

106206465 is a wasteful number, since it uses less digits than its factorization.

106206465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106206465 is about 10305.6520899941. The cubic root of 106206465 is about 473.5694206220.

The spelling of 106206465 in words is "one hundred six million, two hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 15 31 37 93 111 155 185 465 555 1147 3441 5735 6173 17205 18519 30865 92595 191363 228401 574089 685203 956815 1142005 2870445 3426015 7080431 21241293 35402155 106206465