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106677777 = 3414332003
BaseRepresentation
bin1100101101111…
…00011000010001
321102201210101210
412112330120101
5204302142102
614330250333
72433513633
oct626743021
9242653353
10106677777
1155242658
122b8869a9
131914115b
141024ca53
15957336c
hex65bc611

106677777 has 16 divisors (see below), whose sum is σ = 146115648. Its totient is φ = 69189120.

The previous prime is 106677773. The next prime is 106677793. The reversal of 106677777 is 777776601.

It is not a de Polignac number, because 106677777 - 22 = 106677773 is a prime.

It is a super-2 number, since 2×1066777772 = 22760296211323458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106677773) 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 15 ways as a sum of consecutive naturals, for example, 52258 + ... + 54260.

It is an arithmetic number, because the mean of its divisors is an integer number (9132228).

Almost surely, 2106677777 is an apocalyptic number.

It is an amenable number.

106677777 is a deficient number, since it is larger than the sum of its proper divisors (39437871).

106677777 is a wasteful number, since it uses less digits than its factorization.

106677777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480.

The product of its (nonzero) digits is 605052, while the sum is 48.

The square root of 106677777 is about 10328.4934525806. The cubic root of 106677777 is about 474.2689059729.

The spelling of 106677777 in words is "one hundred six million, six hundred seventy-seven thousand, seven hundred seventy-seven".

Divisors: 1 3 41 123 433 1299 2003 6009 17753 53259 82123 246369 867299 2601897 35559259 106677777