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148305105 = 32513219501
BaseRepresentation
bin10001101011011…
…11010011010001
3101100001200100200
420311233103101
5300431230410
622414405413
73450400254
oct1065572321
9340050320
10148305105
1176794903
1241800869
1324957600
14159a709b
15d0473c0
hex8d6f4d1

148305105 has 36 divisors (see below), whose sum is σ = 278371548. Its totient is φ = 73008000.

The previous prime is 148305037. The next prime is 148305169. The reversal of 148305105 is 501503841.

148305105 is a `hidden beast` number, since 148 + 3 + 0 + 510 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27217089 + 121088016 = 5217^2 + 11004^2 .

It is not a de Polignac number, because 148305105 - 27 = 148304977 is a prime.

It is a super-2 number, since 2×1483051052 = 43988808338122050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2146 + ... + 17355.

It is an arithmetic number, because the mean of its divisors is an integer number (7732543).

Almost surely, 2148305105 is an apocalyptic number.

148305105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148305105 is a deficient number, since it is larger than the sum of its proper divisors (130066443).

148305105 is a wasteful number, since it uses less digits than its factorization.

148305105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19538 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 148305105 is about 12178.0583427737. The cubic root of 148305105 is about 529.3204831401.

Adding to 148305105 its reverse (501503841), we get a palindrome (649808946).

The spelling of 148305105 in words is "one hundred forty-eight million, three hundred five thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 19501 58503 97505 175509 253513 292515 760539 877545 1267565 2281617 3295669 3802695 9887007 11408085 16478345 29661021 49435035 148305105