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106119567 = 3283142061
BaseRepresentation
bin1100101001101…
…00000110001111
321101200102200100
412110310012033
5204131311232
614310302143
72426000331
oct624640617
9241612610
10106119567
11549a1224
122b657953
1318ca7058
1410145451
1594b2c7c
hex653418f

106119567 has 12 divisors (see below), whose sum is σ = 155131704. Its totient is φ = 69893520.

The previous prime is 106119499. The next prime is 106119569. The reversal of 106119567 is 765911601.

It is a happy number.

It is not a de Polignac number, because 106119567 - 28 = 106119311 is a prime.

It is a super-2 number, since 2×1061195672 = 22522725000534978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106119569) 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 11 ways as a sum of consecutive naturals, for example, 70284 + ... + 71777.

It is an arithmetic number, because the mean of its divisors is an integer number (12927642).

Almost surely, 2106119567 is an apocalyptic number.

106119567 is a deficient number, since it is larger than the sum of its proper divisors (49012137).

106119567 is a wasteful number, since it uses less digits than its factorization.

106119567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142150 (or 142147 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 106119567 is about 10301.4351912731. The cubic root of 106119567 is about 473.4402274064.

The spelling of 106119567 in words is "one hundred six million, one hundred nineteen thousand, five hundred sixty-seven".

Divisors: 1 3 9 83 249 747 142061 426183 1278549 11791063 35373189 106119567