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106666560 = 263257111337
BaseRepresentation
bin1100101101110…
…01101001000000
321102201020000100
412112321221000
5204301312220
614330122400
72433436140
oct626715100
9242636010
10106666560
1155235190
122b880400
1319139010
1410248920
15956ed90
hex65b9a40

106666560 has 672 divisors, whose sum is σ = 505919232. Its totient is φ = 19906560.

The previous prime is 106666541. The next prime is 106666583. The reversal of 106666560 is 65666601.

It can be divided in two parts, 106 and 666560, that added together give a palindrome (666666).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1066665602 = 22755510044467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882862 + ... + 2882898.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 2106666560 is an apocalyptic number.

106666560 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 106666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

106666560 is an abundant number, since it is smaller than the sum of its proper divisors (399252672).

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

106666560 is a wasteful number, since it uses less digits than its factorization.

106666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106666560 is about 10327.9504259074. The cubic root of 106666560 is about 474.2522825145.

The spelling of 106666560 in words is "one hundred six million, six hundred sixty-six thousand, five hundred sixty".