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106183056 = 2437714451
BaseRepresentation
bin1100101010000…
…11100110010000
321101210122202210
412111003212100
5204140324211
614311512120
72426353410
oct625034620
9241718683
10106183056
1154a349a1
122b688640
1318cc9c15
1410160640
1594c69a6
hex6543990

106183056 has 80 divisors (see below), whose sum is σ = 317979648. Its totient is φ = 29904000.

The previous prime is 106183027. The next prime is 106183057. The reversal of 106183056 is 650381601.

It is a super-2 number, since 2×1061830562 = 22549682762998272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106183057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21631 + ... + 26081.

Almost surely, 2106183056 is an apocalyptic number.

106183056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106183056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158989824).

106183056 is an abundant number, since it is smaller than the sum of its proper divisors (211796592).

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

106183056 is a wasteful number, since it uses less digits than its factorization.

106183056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106183056 is about 10304.5162914132. The cubic root of 106183056 is about 473.5346248710.

The spelling of 106183056 in words is "one hundred six million, one hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 4451 5964 7952 8902 11928 13353 17804 23856 26706 31157 35608 53412 62314 71216 93471 106824 124628 186942 213648 249256 316021 373884 498512 632042 747768 948063 1264084 1495536 1896126 2212147 2528168 3792252 4424294 5056336 6636441 7584504 8848588 13272882 15169008 17697176 26545764 35394352 53091528 106183056