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106605752 = 23113833163
BaseRepresentation
bin1100101101010…
…10110010111000
321102121010121012
412112222302320
5204242341002
614324533052
72433063641
oct626526270
9242533535
10106605752
11551a3530
122b851188
1319117436
14102306c8
15955bd52
hex65aacb8

106605752 has 32 divisors (see below), whose sum is σ = 218695680. Its totient is φ = 48315360.

The previous prime is 106605731. The next prime is 106605767. The reversal of 106605752 is 257506601.

It is a happy number.

It is a super-2 number, since 2×1066057522 = 22729572718971008, which contains 22 as substring.

It is a congruent number.

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, 32123 + ... + 35285.

It is an arithmetic number, because the mean of its divisors is an integer number (6834240).

Almost surely, 2106605752 is an apocalyptic number.

It is an amenable number.

106605752 is an abundant number, since it is smaller than the sum of its proper divisors (112089928).

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

106605752 is a wasteful number, since it uses less digits than its factorization.

106605752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 106605752 is about 10325.0061501192. The cubic root of 106605752 is about 474.1621455039.

The spelling of 106605752 in words is "one hundred six million, six hundred five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 383 766 1532 3064 3163 4213 6326 8426 12652 16852 25304 33704 34793 69586 139172 278344 1211429 2422858 4845716 9691432 13325719 26651438 53302876 106605752