Base | Representation |
---|---|
bin | 1100100101101… |
… | …10101111010110 |
3 | 21100201100100010 |
4 | 12102312233112 |
5 | 204013343402 |
6 | 14251301050 |
7 | 2421431340 |
oct | 622665726 |
9 | 240640303 |
10 | 105606102 |
11 | 54680478 |
12 | 2b44a786 |
13 | 18b57424 |
14 | 10050290 |
15 | 9410a6c |
hex | 64b6bd6 |
105606102 has 32 divisors (see below), whose sum is σ = 241984512. Its totient is φ = 30098304.
The previous prime is 105606101. The next prime is 105606121. The reversal of 105606102 is 201606501.
It is a happy number.
It is a super-3 number, since 3×1056061023 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105606101) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15283 + ... + 21089.
It is an arithmetic number, because the mean of its divisors is an integer number (7562016).
Almost surely, 2105606102 is an apocalyptic number.
105606102 is an abundant number, since it is smaller than the sum of its proper divisors (136378410).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105606102 is a wasteful number, since it uses less digits than its factorization.
105606102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6252.
The product of its (nonzero) digits is 360, while the sum is 21.
The square root of 105606102 is about 10276.4829586780. The cubic root of 105606102 is about 472.6754042091.
The spelling of 105606102 in words is "one hundred five million, six hundred six thousand, one hundred two".
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