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106640248 = 23111331297
BaseRepresentation
bin1100101101100…
…11001101111000
321102122212220211
412112303031320
5204244441443
614325400504
72433266341
oct626631570
9242585824
10106640248
1155217440
122b869134
131912a050
141023d0c8
15956719d
hex65b3378

106640248 has 96 divisors (see below), whose sum is σ = 245231280. Its totient is φ = 42854400.

The previous prime is 106640231. The next prime is 106640251. The reversal of 106640248 is 842046601.

It is a super-2 number, since 2×1066402482 = 22744284987003008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1099336 + ... + 1099432.

Almost surely, 2106640248 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 106640248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122615640).

106640248 is an abundant number, since it is smaller than the sum of its proper divisors (138591032).

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

106640248 is a wasteful number, since it uses less digits than its factorization.

106640248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 106640248 is about 10326.6765224829. The cubic root of 106640248 is about 474.2132838747.

Adding to 106640248 its reverse (842046601), we get a palindrome (948686849).

It can be divided in two parts, 1066 and 40248, that added together give a palindrome (41314).

The spelling of 106640248 in words is "one hundred six million, six hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 97 104 124 143 194 248 286 341 388 403 572 682 776 806 961 1067 1144 1261 1364 1612 1922 2134 2522 2728 3007 3224 3844 4268 4433 5044 6014 7688 8536 8866 10088 10571 12028 12493 13871 17732 21142 24056 24986 27742 33077 35464 39091 42284 49972 55484 66154 78182 84568 93217 99944 110968 132308 137423 156364 186434 264616 274846 312728 372868 430001 549692 745736 860002 1025387 1099384 1211821 1720004 2050774 2423642 3440008 4101548 4847284 8203096 9694568 13330031 26660062 53320124 106640248