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106471305 = 3252366029
BaseRepresentation
bin1100101100010…
…01111110001001
321102100022011200
412112021332021
5204224040210
614322014413
72431663653
oct626117611
9242308150
10106471305
1155111516
122b7a7409
131909b195
14101d76d3
1595320c0
hex6589f89

106471305 has 12 divisors (see below), whose sum is σ = 184550340. Its totient is φ = 56784672.

The previous prime is 106471297. The next prime is 106471361. The reversal of 106471305 is 503174601.

106471305 is a `hidden beast` number, since 1 + 0 + 647 + 13 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 76265289 = 5496^2 + 8733^2 .

It is not a de Polignac number, because 106471305 - 23 = 106471297 is a prime.

It is a super-2 number, since 2×1064713052 = 22672277576806050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182970 + ... + 1183059.

It is an arithmetic number, because the mean of its divisors is an integer number (15379195).

Almost surely, 2106471305 is an apocalyptic number.

106471305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106471305 is a deficient number, since it is larger than the sum of its proper divisors (78079035).

106471305 is a wasteful number, since it uses less digits than its factorization.

106471305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366040 (or 2366037 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106471305 is about 10318.4933493219. The cubic root of 106471305 is about 473.9627300718.

The spelling of 106471305 in words is "one hundred six million, four hundred seventy-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 2366029 7098087 11830145 21294261 35490435 106471305