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106122804 = 22347832267
BaseRepresentation
bin1100101001101…
…00111000110100
321101200121010020
412110310320310
5204131412204
614310325140
72426012634
oct624647064
9241617106
10106122804
11549a36a7
122b6597b0
1318ca8678
14101466c4
1594b3bd9
hex6534e34

106122804 has 48 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 34189408.

The previous prime is 106122791. The next prime is 106122811. The reversal of 106122804 is 408221601.

It is a super-2 number, since 2×1061228042 = 22524099057644832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 45679 + ... + 47945.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2106122804 is an apocalyptic number.

It is an amenable number.

106122804 is an abundant number, since it is smaller than the sum of its proper divisors (149925324).

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

106122804 is a wasteful number, since it uses less digits than its factorization.

106122804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106122804 is about 10301.5923041052. The cubic root of 106122804 is about 473.4450411917.

The spelling of 106122804 in words is "one hundred six million, one hundred twenty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 47 83 94 141 166 188 249 282 332 498 564 996 2267 3901 4534 6801 7802 9068 11703 13602 15604 23406 27204 46812 106549 188161 213098 319647 376322 426196 564483 639294 752644 1128966 1278588 2257932 8843567 17687134 26530701 35374268 53061402 106122804