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105320334 = 2372507627
BaseRepresentation
bin1100100011100…
…00111110001110
321100011211100010
412101300332032
5203430222314
614241214050
72416131240
oct621607616
9240154303
10105320334
11544a57a9
122b331326
1318a87332
14ddb8090
1593a6059
hex6470f8e

105320334 has 16 divisors (see below), whose sum is σ = 240732288. Its totient is φ = 30091512.

The previous prime is 105320329. The next prime is 105320339. The reversal of 105320334 is 433023501.

It is an interprime number because it is at equal distance from previous prime (105320329) and next prime (105320339).

It is a super-2 number, since 2×1053203342 = 22184745507743112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105320334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105320339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253772 + ... + 1253855.

It is an arithmetic number, because the mean of its divisors is an integer number (15045768).

Almost surely, 2105320334 is an apocalyptic number.

105320334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105320334 is an abundant number, since it is smaller than the sum of its proper divisors (135411954).

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

105320334 is a wasteful number, since it uses less digits than its factorization.

105320334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507639.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105320334 is about 10262.5695612746. The cubic root of 105320334 is about 472.2486690015.

Adding to 105320334 its reverse (433023501), we get a palindrome (538343835).

The spelling of 105320334 in words is "one hundred five million, three hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 2507627 5015254 7522881 15045762 17553389 35106778 52660167 105320334