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106298664 = 23333113381
BaseRepresentation
bin1100101010111…
…11110100101000
321102000112100120
412111133310220
5204203024124
614314203240
72430344433
oct625376450
9242015316
10106298664
115500383a
122b723520
131903a724
141019081a
1594ead79
hex655fd28

106298664 has 32 divisors (see below), whose sum is σ = 266569440. Its totient is φ = 35323200.

The previous prime is 106298651. The next prime is 106298701. The reversal of 106298664 is 466892601.

It is a super-3 number, since 3×1062986643 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1254 + ... + 14634.

It is an arithmetic number, because the mean of its divisors is an integer number (8330295).

Almost surely, 2106298664 is an apocalyptic number.

It is an amenable number.

106298664 is an abundant number, since it is smaller than the sum of its proper divisors (160270776).

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

106298664 is a wasteful number, since it uses less digits than its factorization.

106298664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 106298664 is about 10310.1243445460. The cubic root of 106298664 is about 473.7064179270.

The spelling of 106298664 in words is "one hundred six million, two hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1986 2648 3972 7944 13381 26762 40143 53524 80286 107048 160572 321144 4429111 8858222 13287333 17716444 26574666 35432888 53149332 106298664