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106446717 = 3413101089
BaseRepresentation
bin1100101100000…
…11111101111101
321102022001110000
412112003331331
5204222243332
614321304513
72431532166
oct626037575
9242261400
10106446717
11550a4aa3
122b795139
131908cc30
14101cc76d
159529b7c
hex6583f7d

106446717 has 20 divisors (see below), whose sum is σ = 171246460. Its totient is φ = 65505024.

The previous prime is 106446677. The next prime is 106446763. The reversal of 106446717 is 717644601.

106446717 is a `hidden beast` number, since 1 + 0 + 644 + 6 + 7 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13883076 + 92563641 = 3726^2 + 9621^2 .

It is not a de Polignac number, because 106446717 - 214 = 106430333 is a prime.

It is a super-2 number, since 2×1064467172 = 22661807120156178, 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 (106446787) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 49492 + ... + 51597.

It is an arithmetic number, because the mean of its divisors is an integer number (8562323).

Almost surely, 2106446717 is an apocalyptic number.

It is an amenable number.

106446717 is a deficient number, since it is larger than the sum of its proper divisors (64799743).

106446717 is a wasteful number, since it uses less digits than its factorization.

106446717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101114 (or 101105 counting only the distinct ones).

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

The square root of 106446717 is about 10317.3018275129. The cubic root of 106446717 is about 473.9262423289.

The spelling of 106446717 in words is "one hundred six million, four hundred forty-six thousand, seven hundred seventeen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 101089 303267 909801 1314157 2729403 3942471 8188209 11827413 35482239 106446717