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120418105 = 5193121319
BaseRepresentation
bin1110010110101…
…10111100111001
322101120212120211
413023112330321
5221311334410
615540551121
72661352123
oct713267471
9271525524
10120418105
1161a779a5
12343b24a1
131bc42322
1411dc8213
15a88968a
hex72d6f39

120418105 has 24 divisors (see below), whose sum is σ = 157291200. Its totient is φ = 88253280.

The previous prime is 120418093. The next prime is 120418141. The reversal of 120418105 is 501814021.

It is a de Polignac number, because none of the positive numbers 2k-120418105 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90636 + ... + 91954.

It is an arithmetic number, because the mean of its divisors is an integer number (6553800).

Almost surely, 2120418105 is an apocalyptic number.

It is an amenable number.

120418105 is a deficient number, since it is larger than the sum of its proper divisors (36873095).

120418105 is a wasteful number, since it uses less digits than its factorization.

120418105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 120418105 is about 10973.5183510121. The cubic root of 120418105 is about 493.8146039485.

The spelling of 120418105 in words is "one hundred twenty million, four hundred eighteen thousand, one hundred five".

Divisors: 1 5 19 31 95 155 589 961 1319 2945 4805 6595 18259 25061 40889 91295 125305 204445 776891 1267559 3884455 6337795 24083621 120418105