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106253343 = 3371633449
BaseRepresentation
bin1100101010101…
…00110000011111
321101221020012000
412111110300133
5204200101333
614313213343
72430065340
oct625246037
9241836160
10106253343
1154a82789
122b701253
1319022c01
141017c0c7
1594dc713
hex6554c1f

106253343 has 32 divisors (see below), whose sum is σ = 181056000. Its totient is φ = 60326208.

The previous prime is 106253333. The next prime is 106253369. The reversal of 106253343 is 343352601.

It is a happy number.

106253343 is a `hidden beast` number, since 1 + 0 + 625 + 3 + 34 + 3 = 666.

It is not a de Polignac number, because 106253343 - 25 = 106253311 is a prime.

It is a super-2 number, since 2×1062533432 = 22579545797351298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106253333) 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, 29083 + ... + 32531.

It is an arithmetic number, because the mean of its divisors is an integer number (5658000).

Almost surely, 2106253343 is an apocalyptic number.

106253343 is a deficient number, since it is larger than the sum of its proper divisors (74802657).

106253343 is a wasteful number, since it uses less digits than its factorization.

106253343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 106253343 is about 10307.9262220875. The cubic root of 106253343 is about 473.6390859412.

The spelling of 106253343 in words is "one hundred six million, two hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 63 163 189 489 1141 1467 3423 3449 4401 10269 10347 24143 30807 31041 72429 93123 217287 562187 651861 1686561 3935309 5059683 11805927 15179049 35417781 106253343