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106186325 = 5273791601
BaseRepresentation
bin1100101010001…
…00011001010101
321101210211020212
412111010121111
5204140430300
614311535205
72426366060
oct625043125
9241724225
10106186325
1154a373a3
122b68a505
1318ccb55b
14101618d7
1594c7935
hex6544655

106186325 has 24 divisors (see below), whose sum is σ = 150972480. Its totient is φ = 72576000.

The previous prime is 106186321. The next prime is 106186361. The reversal of 106186325 is 523681601.

It is a happy number.

It is not a de Polignac number, because 106186325 - 22 = 106186321 is a prime.

It is a super-2 number, since 2×1061863252 = 22551071234011250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106186291 and 106186300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106186321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65525 + ... + 67125.

It is an arithmetic number, because the mean of its divisors is an integer number (6290520).

Almost surely, 2106186325 is an apocalyptic number.

It is an amenable number.

106186325 is a deficient number, since it is larger than the sum of its proper divisors (44786155).

106186325 is a wasteful number, since it uses less digits than its factorization.

106186325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 106186325 is about 10304.6749099620. The cubic root of 106186325 is about 473.5394843054.

The spelling of 106186325 in words is "one hundred six million, one hundred eighty-six thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 175 379 1601 1895 2653 8005 9475 11207 13265 40025 56035 66325 280175 606779 3033895 4247453 15169475 21237265 106186325