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106626663 = 32111326373
BaseRepresentation
bin1100101101011…
…11111001100111
321102122012021200
412112233321213
5204244023123
614325213543
72433211623
oct626577147
9242565250
10106626663
1155208210
122b8612b3
1319123b00
1410238183
159563143
hex65afe67

106626663 has 36 divisors (see below), whose sum is σ = 181964952. Its totient is φ = 59641920.

The previous prime is 106626659. The next prime is 106626671. The reversal of 106626663 is 366626601.

It is not a de Polignac number, because 106626663 - 22 = 106626659 is a prime.

It is a super-2 number, since 2×1066266632 = 22738490525031138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106626623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13545 + ... + 19917.

It is an arithmetic number, because the mean of its divisors is an integer number (5054582).

Almost surely, 2106626663 is an apocalyptic number.

106626663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106626663 is a deficient number, since it is larger than the sum of its proper divisors (75338289).

106626663 is a wasteful number, since it uses less digits than its factorization.

106626663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 106626663 is about 10326.0187390882. The cubic root of 106626663 is about 474.1931461964.

The spelling of 106626663 in words is "one hundred six million, six hundred twenty-six thousand, six hundred sixty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 6373 16731 19119 57357 70103 82849 210309 248547 630927 745641 911339 1077037 2734017 3231111 8202051 9693333 11847407 35542221 106626663