Base | Representation |
---|---|
bin | 1100100001010… |
… | …00010001000010 |
3 | 21022121200211100 |
4 | 12100220101002 |
5 | 203341210110 |
6 | 14230555230 |
7 | 2413451064 |
oct | 620502102 |
9 | 238550740 |
10 | 105022530 |
11 | 54311a88 |
12 | 2b208b16 |
13 | 189b1912 |
14 | dd3b734 |
15 | 9347bc0 |
hex | 6428442 |
105022530 has 48 divisors (see below), whose sum is σ = 274772160. Its totient is φ = 27830304.
The previous prime is 105022529. The next prime is 105022553. The reversal of 105022530 is 35220501.
It is a happy number.
It is a super-2 number, since 2×1050225302 = 22059463615201800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 11091 + ... + 18249.
It is an arithmetic number, because the mean of its divisors is an integer number (5724420).
Almost surely, 2105022530 is an apocalyptic number.
105022530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 105022530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137386080).
105022530 is an abundant number, since it is smaller than the sum of its proper divisors (169749630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105022530 is a wasteful number, since it uses less digits than its factorization.
105022530 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7335 (or 7332 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 18.
The square root of 105022530 is about 10248.0500584257. The cubic root of 105022530 is about 471.8031383631.
The spelling of 105022530 in words is "one hundred five million, twenty-two thousand, five hundred thirty".
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