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106187525 = 5217249853
BaseRepresentation
bin1100101010001…
…00101100000101
321101210212220022
412111010230011
5204141000100
614311544525
72426402423
oct625045405
9241725808
10106187525
1154a38294
122b68b145
1318ccbc72
1410162113
1594c7e85
hex6544b05

106187525 has 12 divisors (see below), whose sum is σ = 139418532. Its totient is φ = 79952640.

The previous prime is 106187513. The next prime is 106187623. The reversal of 106187525 is 525781601.

It can be written as a sum of positive squares in 6 ways, for example, as 10029889 + 96157636 = 3167^2 + 9806^2 .

It is not a de Polignac number, because 106187525 - 24 = 106187509 is a prime.

It is a super-2 number, since 2×1061875252 = 22551580931251250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 124502 + ... + 125351.

It is an arithmetic number, because the mean of its divisors is an integer number (11618211).

Almost surely, 2106187525 is an apocalyptic number.

It is an amenable number.

106187525 is a deficient number, since it is larger than the sum of its proper divisors (33231007).

106187525 is a wasteful number, since it uses less digits than its factorization.

106187525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249880 (or 249875 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 106187525 is about 10304.7331357974. The cubic root of 106187525 is about 473.5412681046.

The spelling of 106187525 in words is "one hundred six million, one hundred eighty-seven thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 425 249853 1249265 4247501 6246325 21237505 106187525