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106632525 = 35211031289
BaseRepresentation
bin1100101101100…
…01010101001101
321102122111022210
412112301111031
5204244220100
614325301033
72433234666
oct626612515
9242574283
10106632525
115521165a
122b864779
131912668c
141023a36d
159564c50
hex65b154d

106632525 has 24 divisors (see below), whose sum is σ = 176595840. Its totient is φ = 56775040.

The previous prime is 106632523. The next prime is 106632587. The reversal of 106632525 is 525236601.

It is not a de Polignac number, because 106632525 - 21 = 106632523 is a prime.

It is a super-2 number, since 2×1066325252 = 22740990775751250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106632492 and 106632501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106632523) 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, 82081 + ... + 83369.

It is an arithmetic number, because the mean of its divisors is an integer number (7358160).

Almost surely, 2106632525 is an apocalyptic number.

106632525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106632525 is a deficient number, since it is larger than the sum of its proper divisors (69963315).

106632525 is a wasteful number, since it uses less digits than its factorization.

106632525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 106632525 is about 10326.3025812727. The cubic root of 106632525 is about 474.2018359218.

The spelling of 106632525 in words is "one hundred six million, six hundred thirty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 1103 1289 3309 3867 5515 6445 16545 19335 27575 32225 82725 96675 1421767 4265301 7108835 21326505 35544175 106632525