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106641477 = 3211849053
BaseRepresentation
bin1100101101100…
…11100001000101
321102122221121100
412112303201011
5204300011402
614325410313
72433303045
oct626634105
9242587540
10106641477
1155218358
122b869999
131912a787
141023d725
15956771c
hex65b3845

106641477 has 6 divisors (see below), whose sum is σ = 154037702. Its totient is φ = 71094312.

The previous prime is 106641463. The next prime is 106641517. The reversal of 106641477 is 774146601.

106641477 is a `hidden beast` number, since 1 + 0 + 6 + 641 + 4 + 7 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76895361 + 29746116 = 8769^2 + 5454^2 .

It is not a de Polignac number, because 106641477 - 26 = 106641413 is a prime.

It is a super-2 number, since 2×1066414772 = 22744809233483058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106641427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5924518 + ... + 5924535.

Almost surely, 2106641477 is an apocalyptic number.

It is an amenable number.

106641477 is a deficient number, since it is larger than the sum of its proper divisors (47396225).

106641477 is a wasteful number, since it uses less digits than its factorization.

106641477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849059 (or 11849056 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106641477 is about 10326.7360283877. The cubic root of 106641477 is about 474.2151055943.

The spelling of 106641477 in words is "one hundred six million, six hundred forty-one thousand, four hundred seventy-seven".

Divisors: 1 3 9 11849053 35547159 106641477