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106542332 = 221321773127
BaseRepresentation
bin1100101100110…
…11010011111100
321102110220121022
412112123103330
5204233323312
614323323312
72432411021
oct626332374
9242426538
10106542332
115515a916
122b820538
13190c4600
1410215548
159548172
hex659b4fc

106542332 has 72 divisors (see below), whose sum is σ = 218405376. Its totient is φ = 45287424.

The previous prime is 106542311. The next prime is 106542341. The reversal of 106542332 is 233245601.

It is a super-2 number, since 2×1065423322 = 22702537015996448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838853 + ... + 838979.

It is an arithmetic number, because the mean of its divisors is an integer number (3033408).

Almost surely, 2106542332 is an apocalyptic number.

It is an amenable number.

106542332 is an abundant number, since it is smaller than the sum of its proper divisors (111863044).

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

106542332 is a wasteful number, since it uses less digits than its factorization.

106542332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 106542332 is about 10321.9345086084. The cubic root of 106542332 is about 474.0681001457.

Adding to 106542332 its reverse (233245601), we get a palindrome (339787933).

The spelling of 106542332 in words is "one hundred six million, five hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 73 127 146 169 221 254 292 338 442 508 676 884 949 1241 1651 1898 2159 2482 2873 3302 3796 4318 4964 5746 6604 8636 9271 11492 12337 16133 18542 21463 24674 28067 32266 37084 42926 49348 56134 64532 85852 112268 120523 157607 209729 241046 315214 364871 419458 482092 630428 729742 838916 1459484 1566799 2048891 3133598 4097782 6267196 8195564 26635583 53271166 106542332