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105530202 = 2343371933
BaseRepresentation
bin1100100101001…
…00001101011010
321100120111020000
412102210031122
5204003431302
614245513430
72420664141
oct622441532
9240514200
10105530202
1154629448
122b412876
1318b2ba0b
1410030758
1593e831c
hex64a435a

105530202 has 40 divisors (see below), whose sum is σ = 237290196. Its totient is φ = 35054208.

The previous prime is 105530197. The next prime is 105530207. The reversal of 105530202 is 202035501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105530197) and next prime (105530207).

It can be written as a sum of positive squares in 2 ways, for example, as 105452361 + 77841 = 10269^2 + 279^2 .

It is a super-2 number, since 2×1055302022 = 22273247068321608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105530207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53628 + ... + 55560.

Almost surely, 2105530202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105530202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118645098).

105530202 is an abundant number, since it is smaller than the sum of its proper divisors (131759994).

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

105530202 is a wasteful number, since it uses less digits than its factorization.

105530202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105530202 is about 10272.7893972377. The cubic root of 105530202 is about 472.5621384642.

Adding to 105530202 its reverse (202035501), we get a palindrome (307565703).

The spelling of 105530202 in words is "one hundred five million, five hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 337 674 1011 1933 2022 3033 3866 5799 6066 9099 11598 17397 18198 27297 34794 52191 54594 104382 156573 313146 651421 1302842 1954263 3908526 5862789 11725578 17588367 35176734 52765101 105530202