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107107641 = 3211900849
BaseRepresentation
bin1100110001001…
…01010100111001
321110112122001200
412120211110321
5204404421031
614343404413
72440254114
oct630452471
9243478050
10107107641
1155506613
122ba53709
1319261a04
141032157b
15960a8e6
hex6625539

107107641 has 6 divisors (see below), whose sum is σ = 154711050. Its totient is φ = 71405088.

The previous prime is 107107639. The next prime is 107107669. The reversal of 107107641 is 146701701.

107107641 is a `hidden beast` number, since 1 + 0 + 7 + 10 + 7 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96118416 + 10989225 = 9804^2 + 3315^2 .

It is not a de Polignac number, because 107107641 - 21 = 107107639 is a prime.

It is a super-2 number, since 2×1071076412 = 22944093521169762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107107631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5950416 + ... + 5950433.

It is an arithmetic number, because the mean of its divisors is an integer number (25785175).

Almost surely, 2107107641 is an apocalyptic number.

It is an amenable number.

107107641 is a deficient number, since it is larger than the sum of its proper divisors (47603409).

107107641 is a wasteful number, since it uses less digits than its factorization.

107107641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900855 (or 11900852 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 107107641 is about 10349.2821490188. The cubic root of 107107641 is about 474.9050831582.

The spelling of 107107641 in words is "one hundred seven million, one hundred seven thousand, six hundred forty-one".

Divisors: 1 3 9 11900849 35702547 107107641