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106597232 = 2478311467
BaseRepresentation
bin1100101101010…
…00101101110000
321102120200220122
412112220231300
5204242102412
614324425412
72433030050
oct626505560
9242520818
10106597232
1155198095
122b848268
13191135b1
141022b560
159559572
hex65a8b70

106597232 has 40 divisors (see below), whose sum is σ = 238901376. Its totient is φ = 45130176.

The previous prime is 106597223. The next prime is 106597289. The reversal of 106597232 is 232795601.

It is a super-2 number, since 2×1065972322 = 22725939740123648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106597192 and 106597201.

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 7 ways as a sum of consecutive naturals, for example, 3563 + ... + 15029.

Almost surely, 2106597232 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 106597232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119450688).

106597232 is an abundant number, since it is smaller than the sum of its proper divisors (132304144).

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

106597232 is a wasteful number, since it uses less digits than its factorization.

106597232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 106597232 is about 10324.5935513220. The cubic root of 106597232 is about 474.1495133866.

The spelling of 106597232 in words is "one hundred six million, five hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 9296 11467 22934 45868 80269 91736 160538 183472 321076 642152 951761 1284304 1903522 3807044 6662327 7614088 13324654 15228176 26649308 53298616 106597232