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106905148 = 22734711003
BaseRepresentation
bin1100101111100…
…11111000111100
321110011100021221
412113303320330
5204331431043
614335203124
72435451550
oct627637074
9243140257
10106905148
1155388469
122b9764a4
13191c07ac
14102ab860
1595ba8ed
hex65f3e3c

106905148 has 24 divisors (see below), whose sum is σ = 214445952. Its totient is φ = 45680304.

The previous prime is 106905121. The next prime is 106905151. The reversal of 106905148 is 841509601.

It is a super-2 number, since 2×1069051482 = 22857421337803808, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4215 + ... + 15217.

It is an arithmetic number, because the mean of its divisors is an integer number (8935248).

Almost surely, 2106905148 is an apocalyptic number.

It is an amenable number.

106905148 is an abundant number, since it is smaller than the sum of its proper divisors (107540804).

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

106905148 is a wasteful number, since it uses less digits than its factorization.

106905148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 106905148 is about 10339.4945717864. The cubic root of 106905148 is about 474.6056161312.

The spelling of 106905148 in words is "one hundred six million, nine hundred five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 347 694 1388 2429 4858 9716 11003 22006 44012 77021 154042 308084 3818041 7636082 15272164 26726287 53452574 106905148