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106555460 = 22511677229
BaseRepresentation
bin1100101100111…
…10100001000100
321102111120121112
412112132201010
5204234233320
614323504152
72432464214
oct626364104
9242446545
10106555460
1155169770
122b828058
13190ca58b
141021a244
15954bec5
hex659e844

106555460 has 48 divisors (see below), whose sum is σ = 247786560. Its totient is φ = 38163840.

The previous prime is 106555459. The next prime is 106555469. The reversal of 106555460 is 64555601.

It is a super-2 number, since 2×1065554602 = 22708132111623200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106555469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11126 + ... + 18354.

It is an arithmetic number, because the mean of its divisors is an integer number (5162220).

Almost surely, 2106555460 is an apocalyptic number.

106555460 is a gapful number since it is divisible by the number (10) 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 106555460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123893280).

106555460 is an abundant number, since it is smaller than the sum of its proper divisors (141231100).

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

106555460 is a wasteful number, since it uses less digits than its factorization.

106555460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 106555460 is about 10322.5704163256. The cubic root of 106555460 is about 474.0875706863.

The spelling of 106555460 in words is "one hundred six million, five hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7229 7370 14458 14740 28916 36145 72290 79519 144580 159038 318076 397595 484343 795190 968686 1590380 1937372 2421715 4843430 5327773 9686860 10655546 21311092 26638865 53277730 106555460