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106710648 = 23311619653
BaseRepresentation
bin1100101110001…
…00011001111000
321102210110111020
412113010121320
5204304220043
614331102440
72434011522
oct627043170
9242713436
10106710648
1155265320
122b8a1a20
13191530c5
141025aa12
15957ce83
hex65c4678

106710648 has 64 divisors (see below), whose sum is σ = 291945600. Its totient is φ = 32234880.

The previous prime is 106710601. The next prime is 106710679. The reversal of 106710648 is 846017601.

It is a happy number.

It is a super-2 number, since 2×1067106482 = 22774324793159808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163090 + ... + 163742.

It is an arithmetic number, because the mean of its divisors is an integer number (4561650).

Almost surely, 2106710648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106710648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145972800).

106710648 is an abundant number, since it is smaller than the sum of its proper divisors (185234952).

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

106710648 is a wasteful number, since it uses less digits than its factorization.

106710648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106710648 is about 10330.0846075916. The cubic root of 106710648 is about 474.3176136879.

The spelling of 106710648 in words is "one hundred six million, seven hundred ten thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 619 653 1238 1306 1857 1959 2476 2612 3714 3918 4952 5224 6809 7183 7428 7836 13618 14366 14856 15672 20427 21549 27236 28732 40854 43098 54472 57464 81708 86196 163416 172392 404207 808414 1212621 1616828 2425242 3233656 4446277 4850484 8892554 9700968 13338831 17785108 26677662 35570216 53355324 106710648