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106546525 = 528574973
BaseRepresentation
bin1100101100111…
…00010101011101
321102111010100121
412112130111131
5204233442100
614323354541
72432426161
oct626342535
9242433317
10106546525
1155162a88
122b822a51
13190c64a7
1410216ca1
15954951a
hex659c55d

106546525 has 12 divisors (see below), whose sum is σ = 132298452. Its totient is φ = 85120640.

The previous prime is 106546513. The next prime is 106546529. The reversal of 106546525 is 525645601.

It can be written as a sum of positive squares in 6 ways, for example, as 3767481 + 102779044 = 1941^2 + 10138^2 .

It is a de Polignac number, because none of the positive numbers 2k-106546525 is a prime.

It is a super-2 number, since 2×1065465252 = 22704323979151250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106546529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18939 + ... + 23911.

It is an arithmetic number, because the mean of its divisors is an integer number (11024871).

Almost surely, 2106546525 is an apocalyptic number.

It is an amenable number.

106546525 is a deficient number, since it is larger than the sum of its proper divisors (25751927).

106546525 is an equidigital number, since it uses as much as digits as its factorization.

106546525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 106546525 is about 10322.1376177612. The cubic root of 106546525 is about 474.0743190868.

The spelling of 106546525 in words is "one hundred six million, five hundred forty-six thousand, five hundred twenty-five".

Divisors: 1 5 25 857 4285 4973 21425 24865 124325 4261861 21309305 106546525