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135435105 = 3351377171
BaseRepresentation
bin10000001001010…
…01001101100001
3100102211211001000
420010221031201
5234132410410
621234502213
73233115351
oct1004511541
9312754030
10135435105
116a4a4443
1239434969
132209c620
1413db6b61
15bd53dc0
hex8129361

135435105 has 32 divisors (see below), whose sum is σ = 259297920. Its totient is φ = 66674880.

The previous prime is 135435103. The next prime is 135435161. The reversal of 135435105 is 501534531.

135435105 is a `hidden beast` number, since 13 + 543 + 5 + 105 = 666.

It is not a de Polignac number, because 135435105 - 21 = 135435103 is a prime.

It is a super-2 number, since 2×1354351052 = 36685335332722050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135435103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36831 + ... + 40340.

It is an arithmetic number, because the mean of its divisors is an integer number (8103060).

Almost surely, 2135435105 is an apocalyptic number.

135435105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135435105 is a deficient number, since it is larger than the sum of its proper divisors (123862815).

135435105 is a wasteful number, since it uses less digits than its factorization.

135435105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77198 (or 77192 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135435105 is about 11637.6589140600. The cubic root of 135435105 is about 513.5433182163.

Adding to 135435105 its reverse (501534531), we get a palindrome (636969636).

The spelling of 135435105 in words is "one hundred thirty-five million, four hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 77171 231513 385855 694539 1003223 1157565 2083617 3009669 3472695 5016115 9029007 10418085 15048345 27087021 45145035 135435105