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107106642 = 2325950369
BaseRepresentation
bin1100110001001…
…01000101010010
321110112120200200
412120211011102
5204404403032
614343400030
72440251156
oct630450522
9243476620
10107106642
1155505895
122ba53016
1319261416
1410321066
15960a47c
hex6625152

107106642 has 12 divisors (see below), whose sum is σ = 232064430. Its totient is φ = 35702208.

The previous prime is 107106641. The next prime is 107106661. The reversal of 107106642 is 246601701.

107106642 is a `hidden beast` number, since 1 + 0 + 7 + 10 + 6 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75533481 + 31573161 = 8691^2 + 5619^2 .

It is a super-2 number, since 2×1071066422 = 22943665521032328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107106641) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2975167 + ... + 2975202.

Almost surely, 2107106642 is an apocalyptic number.

107106642 is an abundant number, since it is smaller than the sum of its proper divisors (124957788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107106642 is a wasteful number, since it uses less digits than its factorization.

107106642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950377 (or 5950374 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107106642 is about 10349.2338846892. The cubic root of 107106642 is about 474.9036066634.

The spelling of 107106642 in words is "one hundred seven million, one hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 5950369 11900738 17851107 35702214 53553321 107106642