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106523664 = 24313170711
BaseRepresentation
bin1100101100101…
…10110000010000
321102102221222220
412112112300100
5204232224124
614323101040
72432302422
oct626266020
9242387886
10106523664
1155147895
122b811780
13190b8c70
141020c812
159542879
hex6596c10

106523664 has 40 divisors (see below), whose sum is σ = 296356032. Its totient is φ = 32776320.

The previous prime is 106523621. The next prime is 106523689. The reversal of 106523664 is 466325601.

It is a super-2 number, since 2×1065236642 = 22694581983969792, which contains 22 as substring.

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, 84732 + ... + 85979.

Almost surely, 2106523664 is an apocalyptic number.

It is an amenable number.

106523664 is an abundant number, since it is smaller than the sum of its proper divisors (189832368).

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

106523664 is a wasteful number, since it uses less digits than its factorization.

106523664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170735 (or 170729 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 106523664 is about 10321.0301811399. The cubic root of 106523664 is about 474.0404103061.

The spelling of 106523664 in words is "one hundred six million, five hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 170711 341422 512133 682844 1024266 1365688 2048532 2219243 2731376 4097064 4438486 6657729 8194128 8876972 13315458 17753944 26630916 35507888 53261832 106523664