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105542130 = 2353795083
BaseRepresentation
bin1100100101001…
…11000111110010
321100121002120210
412102213013302
5204004322010
614250044550
72421044001
oct622470762
9240532523
10105542130
1154637401
122b419756
1318b34285
1410034c38
1593ebb20
hex64a71f2

105542130 has 32 divisors (see below), whose sum is σ = 260149824. Its totient is φ = 27383616.

The previous prime is 105542117. The next prime is 105542149. The reversal of 105542130 is 31245501.

It is a super-2 number, since 2×1055421302 = 22278282409873800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105542097 and 105542106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46432 + ... + 48651.

It is an arithmetic number, because the mean of its divisors is an integer number (8129682).

Almost surely, 2105542130 is an apocalyptic number.

105542130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105542130 is an abundant number, since it is smaller than the sum of its proper divisors (154607694).

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

105542130 is a wasteful number, since it uses less digits than its factorization.

105542130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95130.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105542130 is about 10273.3699436942. The cubic root of 105542130 is about 472.5799422421.

Adding to 105542130 its reverse (31245501), we get a palindrome (136787631).

The spelling of 105542130 in words is "one hundred five million, five hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 95083 190166 285249 475415 570498 950830 1426245 2852490 3518071 7036142 10554213 17590355 21108426 35180710 52771065 105542130