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106649616 = 2432817907
BaseRepresentation
bin1100101101101…
…01100000010000
321102200100202210
412112311200100
5204300241431
614325512120
72433335553
oct626654020
9242610683
10106649616
1155223487
122b872640
13191313a8
141024269a
159569d46
hex65b5810

106649616 has 40 divisors (see below), whose sum is σ = 276526944. Its totient is φ = 35418880.

The previous prime is 106649593. The next prime is 106649681. The reversal of 106649616 is 616946601.

It is a super-2 number, since 2×1066496162 = 22748281185894912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9535 + ... + 17441.

Almost surely, 2106649616 is an apocalyptic number.

106649616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106649616 is an abundant number, since it is smaller than the sum of its proper divisors (169877328).

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

106649616 is a wasteful number, since it uses less digits than its factorization.

106649616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 106649616 is about 10327.1300950458. The cubic root of 106649616 is about 474.2271695012.

The spelling of 106649616 in words is "one hundred six million, six hundred forty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 1124 1686 2248 3372 4496 6744 7907 13488 15814 23721 31628 47442 63256 94884 126512 189768 379536 2221867 4443734 6665601 8887468 13331202 17774936 26662404 35549872 53324808 106649616