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106945695 = 3252376571
BaseRepresentation
bin1100101111111…
…01110010011111
321110020101220200
412113331302133
5204334230240
614340114543
72436011013
oct627756237
9243211820
10106945695
115540597a
122b995a53
131920609c
14102bc543
1595c7930
hex65fdc9f

106945695 has 12 divisors (see below), whose sum is σ = 185372616. Its totient is φ = 57037680.

The previous prime is 106945673. The next prime is 106945703. The reversal of 106945695 is 596549601.

It is a happy number.

106945695 is a `hidden beast` number, since 106 + 9 + 456 + 95 = 666.

It is not a de Polignac number, because 106945695 - 29 = 106945183 is a prime.

It is a super-3 number, since 3×1069456953 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2376571 = 106945695 / (1 + 0 + 6 + 9 + 4 + 5 + 6 + 9 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 106945695.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1188241 + ... + 1188330.

It is an arithmetic number, because the mean of its divisors is an integer number (15447718).

Almost surely, 2106945695 is an apocalyptic number.

106945695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106945695 is a deficient number, since it is larger than the sum of its proper divisors (78426921).

106945695 is a wasteful number, since it uses less digits than its factorization.

106945695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376582 (or 2376579 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 106945695 is about 10341.4551683987. The cubic root of 106945695 is about 474.6656113757.

It can be divided in two parts, 1069 and 45695, that added together give a palindrome (46764).

The spelling of 106945695 in words is "one hundred six million, nine hundred forty-five thousand, six hundred ninety-five".

Divisors: 1 3 5 9 15 45 2376571 7129713 11882855 21389139 35648565 106945695