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106225056 = 2532752691
BaseRepresentation
bin1100101010011…
…01110110100000
321101212210101100
412111031312200
5204143200211
614312434400
72426620020
oct625156640
9241783340
10106225056
1154a63503
122b6a8a00
1319013082
1410171a80
1594d4156
hex654dda0

106225056 has 72 divisors (see below), whose sum is σ = 345237984. Its totient is φ = 30349440.

The previous prime is 106225043. The next prime is 106225073. The reversal of 106225056 is 650522601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1062250562 = 22567525044406272, 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 11 ways as a sum of consecutive naturals, for example, 24330 + ... + 28361.

It is an arithmetic number, because the mean of its divisors is an integer number (4794972).

Almost surely, 2106225056 is an apocalyptic number.

106225056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106225056 is an abundant number, since it is smaller than the sum of its proper divisors (239012928).

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

106225056 is a wasteful number, since it uses less digits than its factorization.

106225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52714 (or 52703 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106225056 is about 10306.5540312948. The cubic root of 106225056 is about 473.5970511291.

Adding to 106225056 its reverse (650522601), we get a palindrome (756747657).

The spelling of 106225056 in words is "one hundred six million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 52691 105382 158073 210764 316146 368837 421528 474219 632292 737674 843056 948438 1106511 1264584 1475348 1686112 1896876 2213022 2529168 2950696 3319533 3793752 4426044 5058336 5901392 6639066 7587504 8852088 11802784 13278132 15175008 17704176 26556264 35408352 53112528 106225056