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105022530 = 23251637159
BaseRepresentation
bin1100100001010…
…00010001000010
321022121200211100
412100220101002
5203341210110
614230555230
72413451064
oct620502102
9238550740
10105022530
1154311a88
122b208b16
13189b1912
14dd3b734
159347bc0
hex6428442

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".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 4890 7159 7335 14318 14670 21477 35795 42954 64431 71590 107385 128862 214770 322155 644310 1166917 2333834 3500751 5834585 7001502 10502253 11669170 17503755 21004506 35007510 52511265 105022530