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105640314 = 23133733631
BaseRepresentation
bin1100100101111…
…11000101111010
321100210002021020
412102333011322
5204020442224
614252123310
72421633153
oct622770572
9240702236
10105640314
11546a414a
122b466536
1318b69b80
141005c92a
15941ac79
hex64bf17a

105640314 has 32 divisors (see below), whose sum is σ = 228205824. Its totient is φ = 32408640.

The previous prime is 105640303. The next prime is 105640319. The reversal of 105640314 is 413046501.

It is a super-2 number, since 2×1056403142 = 22319751884037192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105640319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27279 + ... + 30909.

It is an arithmetic number, because the mean of its divisors is an integer number (7131432).

Almost surely, 2105640314 is an apocalyptic number.

105640314 is an abundant number, since it is smaller than the sum of its proper divisors (122565510).

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

105640314 is a wasteful number, since it uses less digits than its factorization.

105640314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105640314 is about 10278.1474011614. The cubic root of 105640314 is about 472.7264411116.

Adding to 105640314 its reverse (413046501), we get a palindrome (518686815).

The spelling of 105640314 in words is "one hundred five million, six hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 373 746 1119 2238 3631 4849 7262 9698 10893 14547 21786 29094 47203 94406 141609 283218 1354363 2708726 4063089 8126178 17606719 35213438 52820157 105640314