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106005648 = 2437315493
BaseRepresentation
bin1100101000110…
…00010010010000
321101110122102010
412110120102100
5204114140043
614304022520
72425014240
oct624302220
9241418363
10106005648
1154923681
122b601a40
1318c67248
1410115b20
15948e133
hex6518490

106005648 has 40 divisors (see below), whose sum is σ = 312970048. Its totient is φ = 30287232.

The previous prime is 106005631. The next prime is 106005673. The reversal of 106005648 is 846500601.

It is a super-2 number, since 2×1060056482 = 22474394815799808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157411 + ... + 158082.

Almost surely, 2106005648 is an apocalyptic number.

It is an amenable number.

106005648 is an abundant number, since it is smaller than the sum of its proper divisors (206964400).

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

106005648 is a wasteful number, since it uses less digits than its factorization.

106005648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315511 (or 315505 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106005648 is about 10295.9044284609. The cubic root of 106005648 is about 473.2707545826.

The spelling of 106005648 in words is "one hundred six million, five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 315493 630986 946479 1261972 1892958 2208451 2523944 3785916 4416902 5047888 6625353 7571832 8833804 13250706 15143664 17667608 26501412 35335216 53002824 106005648