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106977681 = 3211886409
BaseRepresentation
bin1100110000001…
…01100110010001
321110022000210100
412120011212101
5204341241211
614340523013
72436203166
oct630054621
9243260710
10106977681
1155427a08
122b9b0469
1319217805
14102ca06d
1595d2156
hex6605991

106977681 has 6 divisors (see below), whose sum is σ = 154523330. Its totient is φ = 71318448.

The previous prime is 106977667. The next prime is 106977701. The reversal of 106977681 is 186779601.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 22043025 = 9216^2 + 4695^2 .

It is not a de Polignac number, because 106977681 - 211 = 106975633 is a prime.

It is a super-2 number, since 2×1069776812 = 22888448464275522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106972681) 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, 5943196 + ... + 5943213.

Almost surely, 2106977681 is an apocalyptic number.

It is an amenable number.

106977681 is a deficient number, since it is larger than the sum of its proper divisors (47545649).

106977681 is a wasteful number, since it uses less digits than its factorization.

106977681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886415 (or 11886412 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 106977681 is about 10343.0015469398. The cubic root of 106977681 is about 474.7129286640.

The spelling of 106977681 in words is "one hundred six million, nine hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 3 9 11886409 35659227 106977681