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105130230 = 235191811019
BaseRepresentation
bin1100100010000…
…10100011110110
321022211011120020
412101002203312
5203403131410
614233150010
72414410062
oct621024366
9238734506
10105130230
1154385997
122b25b306
1318a1b94a
14dd68aa2
159369a70
hex64428f6

105130230 has 64 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 26386560.

The previous prime is 105130189. The next prime is 105130231. The reversal of 105130230 is 32031501.

It is a happy number.

It is a super-2 number, since 2×1051302302 = 22104730519705800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130231) 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, 102661 + ... + 103679.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2105130230 is an apocalyptic number.

105130230 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 105130230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

105130230 is an abundant number, since it is smaller than the sum of its proper divisors (162191370).

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

105130230 is a wasteful number, since it uses less digits than its factorization.

105130230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105130230 is about 10253.3033701339. The cubic root of 105130230 is about 471.9643603991.

Adding to 105130230 its reverse (32031501), we get a palindrome (137161731).

The spelling of 105130230 in words is "one hundred five million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 181 190 285 362 543 570 905 1019 1086 1810 2038 2715 3057 3439 5095 5430 6114 6878 10190 10317 15285 17195 19361 20634 30570 34390 38722 51585 58083 96805 103170 116166 184439 193610 290415 368878 553317 580830 922195 1106634 1844390 2766585 3504341 5533170 7008682 10513023 17521705 21026046 35043410 52565115 105130230