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106788276 = 22327423763
BaseRepresentation
bin1100101110101…
…11010110110100
321102221101222100
412113113112310
5204314211101
614332502100
72434454040
oct627272664
9242841870
10106788276
1155308681
122b91a930
131917c53a
141027b020
159595e86
hex65d75b4

106788276 has 36 divisors (see below), whose sum is σ = 308500192. Its totient is φ = 30510864.

The previous prime is 106788263. The next prime is 106788293. The reversal of 106788276 is 672887601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1067882762 = 22807471782104352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211630 + ... + 212133.

Almost surely, 2106788276 is an apocalyptic number.

It is an amenable number.

106788276 is an abundant number, since it is smaller than the sum of its proper divisors (201711916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106788276 is a wasteful number, since it uses less digits than its factorization.

106788276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423780 (or 423775 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 106788276 is about 10333.8412993427. The cubic root of 106788276 is about 474.4326019092.

The spelling of 106788276 in words is "one hundred six million, seven hundred eighty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 423763 847526 1271289 1695052 2542578 2966341 3813867 5085156 5932682 7627734 8899023 11865364 15255468 17798046 26697069 35596092 53394138 106788276