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106766607 = 31031672069
BaseRepresentation
bin1100101110100…
…10000100001111
321102220022020210
412113102010033
5204313012412
614332213503
72434333623
oct627220417
9242808223
10106766607
11552a3372
122b90a293
131917270c
1410273183
15958e83c
hex65d210f

106766607 has 16 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 70030752.

The previous prime is 106766599. The next prime is 106766623. The reversal of 106766607 is 706667601.

It is not a de Polignac number, because 106766607 - 23 = 106766599 is a prime.

It is a super-2 number, since 2×1067666072 = 22798216740584898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766687) 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, 50569 + ... + 52637.

It is an arithmetic number, because the mean of its divisors is an integer number (9041760).

Almost surely, 2106766607 is an apocalyptic number.

106766607 is a deficient number, since it is larger than the sum of its proper divisors (37901553).

106766607 is a wasteful number, since it uses less digits than its factorization.

106766607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 106766607 is about 10332.7927976903. The cubic root of 106766607 is about 474.4005098236.

The spelling of 106766607 in words is "one hundred six million, seven hundred sixty-six thousand, six hundred seven".

Divisors: 1 3 103 167 309 501 2069 6207 17201 51603 213107 345523 639321 1036569 35588869 106766607