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106132525 = 524245301
BaseRepresentation
bin1100101001101…
…11010000101101
321101201002110021
412110313100231
5204132220100
614310442141
72426053162
oct624672055
9241632407
10106132525
11549aaa34
122b663351
1318cacc15
141014a069
1594b6a1a
hex653742d

106132525 has 6 divisors (see below), whose sum is σ = 131604362. Its totient is φ = 84906000.

The previous prime is 106132493. The next prime is 106132529. The reversal of 106132525 is 525231601.

It can be written as a sum of positive squares in 3 ways, for example, as 20958084 + 85174441 = 4578^2 + 9229^2 .

It is not a de Polignac number, because 106132525 - 25 = 106132493 is a prime.

It is a super-2 number, since 2×1061325252 = 22528225725751250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 4245301 = 106132525 / (1 + 0 + 6 + 1 + 3 + 2 + 5 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106132525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2122626 + ... + 2122675.

Almost surely, 2106132525 is an apocalyptic number.

It is an amenable number.

106132525 is a deficient number, since it is larger than the sum of its proper divisors (25471837).

106132525 is an equidigital number, since it uses as much as digits as its factorization.

106132525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245311 (or 4245306 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106132525 is about 10302.0641135648. The cubic root of 106132525 is about 473.4594968304.

It can be divided in two parts, 106 and 132525, that multiplied together give a triangular number (14047650 = T5300).

The spelling of 106132525 in words is "one hundred six million, one hundred thirty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 4245301 21226505 106132525