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105614130 = 2355959669
BaseRepresentation
bin1100100101110…
…00101100110010
321100201202100110
412102320230302
5204014123010
614251402150
72421463626
oct622705462
9240652313
10105614130
1154686506
122b453356
1318b5ac8b
1410053186
159413120
hex64b8b32

105614130 has 32 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 27685952.

The previous prime is 105614129. The next prime is 105614147. The reversal of 105614130 is 31416501.

It is a super-2 number, since 2×1056141302 = 22308688911313800, 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 = 105614097 and 105614106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28065 + ... + 31604.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2105614130 is an apocalyptic number.

105614130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105614130 is an abundant number, since it is smaller than the sum of its proper divisors (152160270).

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

105614130 is a wasteful number, since it uses less digits than its factorization.

105614130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59738.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105614130 is about 10276.8735518153. The cubic root of 105614130 is about 472.6873812380.

The spelling of 105614130 in words is "one hundred five million, six hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 59669 119338 179007 298345 358014 596690 895035 1790070 3520471 7040942 10561413 17602355 21122826 35204710 52807065 105614130