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105489270 = 23352316987
BaseRepresentation
bin1100100100110…
…10001101110110
321100111102002000
412102122031312
5204001124040
614245000130
72420433615
oct622321566
9240442060
10105489270
1154600717
122b3b3046
1318b161b3
141001d87c
1593db130
hex649a376

105489270 has 64 divisors (see below), whose sum is σ = 293552640. Its totient is φ = 26905824.

The previous prime is 105489259. The next prime is 105489271. The reversal of 105489270 is 72984501.

105489270 is a `hidden beast` number, since 105 + 489 + 2 + 70 = 666.

It is a super-2 number, since 2×1054892702 = 22255972170265800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105489271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284 + ... + 14703.

It is an arithmetic number, because the mean of its divisors is an integer number (4586760).

Almost surely, 2105489270 is an apocalyptic number.

105489270 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 105489270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146776320).

105489270 is an abundant number, since it is smaller than the sum of its proper divisors (188063370).

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

105489270 is a wasteful number, since it uses less digits than its factorization.

105489270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17026 (or 17020 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105489270 is about 10270.7969505779. The cubic root of 105489270 is about 472.5010330035.

The spelling of 105489270 in words is "one hundred five million, four hundred eighty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 16987 33974 50961 84935 101922 152883 169870 254805 305766 390701 458649 509610 764415 781402 917298 1172103 1528830 1953505 2293245 2344206 3516309 3907010 4586490 5860515 7032618 10548927 11721030 17581545 21097854 35163090 52744635 105489270