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106442466 = 231310313249
BaseRepresentation
bin1100101100000…
…10111011100010
321102021211121120
412112002323202
5204222124331
614321233110
72431513614
oct626027342
9242254546
10106442466
11550a1889
122b792796
131908b010
14101cadb4
159528796
hex6582ee2

106442466 has 32 divisors (see below), whose sum is σ = 231504000. Its totient is φ = 32431104.

The previous prime is 106442443. The next prime is 106442473. The reversal of 106442466 is 664244601.

It is a super-2 number, since 2×1064424662 = 22659997136322312, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 14658.

It is an arithmetic number, because the mean of its divisors is an integer number (7234500).

Almost surely, 2106442466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106442466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115752000).

106442466 is an abundant number, since it is smaller than the sum of its proper divisors (125061534).

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

106442466 is a wasteful number, since it uses less digits than its factorization.

106442466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13370.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 106442466 is about 10317.0958122914. The cubic root of 106442466 is about 473.9199334220.

The spelling of 106442466 in words is "one hundred six million, four hundred forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 2678 4017 8034 13249 26498 39747 79494 172237 344474 516711 1033422 1364647 2729294 4093941 8187882 17740411 35480822 53221233 106442466