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106653092 = 22713377919
BaseRepresentation
bin1100101101101…
…10010110100100
321102200112112112
412112312112210
5204300344332
614325540152
72433351650
oct626662644
9242615475
10106653092
1155226057
122b874658
1319132b50
1410243a60
15956adb2
hex65b65a4

106653092 has 48 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 41046912.

The previous prime is 106653077. The next prime is 106653103. The reversal of 106653092 is 290356601.

It is a happy number.

It is a super-2 number, since 2×1066530922 = 22749764066320928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9509 + ... + 17427.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2106653092 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 106653092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

106653092 is an abundant number, since it is smaller than the sum of its proper divisors (129299548).

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

106653092 is a wasteful number, since it uses less digits than its factorization.

106653092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 106653092 is about 10327.2983882524. The cubic root of 106653092 is about 474.2323215614.

The spelling of 106653092 in words is "one hundred six million, six hundred fifty-three thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 6734 7919 13468 15838 31676 55433 102947 110866 205894 221732 293003 411788 586006 720629 1172012 1441258 2051021 2882516 3809039 4102042 7618078 8204084 15236156 26663273 53326546 106653092