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106125567 = 3353100213
BaseRepresentation
bin1100101001101…
…01100011111111
321101200201220120
412110311203333
5204132004232
614310350023
72426023662
oct624654377
9241621816
10106125567
11549a5789
122b65b313
1318ca99c2
14101476d9
1594b492c
hex65358ff

106125567 has 8 divisors (see below), whose sum is σ = 141903024. Its totient is φ = 70549248.

The previous prime is 106125559. The next prime is 106125571. The reversal of 106125567 is 765521601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106125567 - 23 = 106125559 is a prime.

It is a super-2 number, since 2×1061255672 = 22525271942142978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106125967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49048 + ... + 51165.

It is an arithmetic number, because the mean of its divisors is an integer number (17737878).

Almost surely, 2106125567 is an apocalyptic number.

106125567 is a deficient number, since it is larger than the sum of its proper divisors (35777457).

106125567 is a wasteful number, since it uses less digits than its factorization.

106125567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100569.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 106125567 is about 10301.7264087142. The cubic root of 106125567 is about 473.4491500080.

The spelling of 106125567 in words is "one hundred six million, one hundred twenty-five thousand, five hundred sixty-seven".

Divisors: 1 3 353 1059 100213 300639 35375189 106125567