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106445466 = 232171672083
BaseRepresentation
bin1100101100000…
…11101010011010
321102021222201200
412112003222122
5204222223331
614321255030
72431525431
oct626035232
9242258650
10106445466
11550a4066
122b794476
131908c4aa
14101cc118
1595295e6
hex6583a9a

106445466 has 48 divisors (see below), whose sum is σ = 245778624. Its totient is φ = 33178752.

The previous prime is 106445447. The next prime is 106445477. The reversal of 106445466 is 664544601.

106445466 is a `hidden beast` number, since 1 + 0 + 644 + 5 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×1064454662 = 22661274463914312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106445466.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50061 + ... + 52143.

It is an arithmetic number, because the mean of its divisors is an integer number (5120388).

Almost surely, 2106445466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106445466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122889312).

106445466 is an abundant number, since it is smaller than the sum of its proper divisors (139333158).

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

106445466 is a wasteful number, since it uses less digits than its factorization.

106445466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 106445466 is about 10317.2412010188. The cubic root of 106445466 is about 473.9243857379.

It can be divided in two parts, 10644 and 5466, that added together give a triangular number (16110 = T179).

The spelling of 106445466 in words is "one hundred six million, four hundred forty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 167 306 334 501 1002 1503 2083 2839 3006 4166 5678 6249 8517 12498 17034 18747 25551 35411 37494 51102 70822 106233 212466 318699 347861 637398 695722 1043583 2087166 3130749 5913637 6261498 11827274 17740911 35481822 53222733 106445466