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106670600 = 2352533353
BaseRepresentation
bin1100101101110…
…10101000001000
321102201102112222
412112322220020
5204301424400
614330153212
72433454001
oct626725010
9242642488
10106670600
1155238223
122b882808
131913aaca
141024a1a8
159571185
hex65baa08

106670600 has 24 divisors (see below), whose sum is σ = 248009610. Its totient is φ = 42668160.

The previous prime is 106670587. The next prime is 106670647. The reversal of 106670600 is 6076601.

It can be written as a sum of positive squares in 3 ways, for example, as 58033924 + 48636676 = 7618^2 + 6974^2 .

It is a super-2 number, since 2×1066706002 = 22757233808720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106670600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266477 + ... + 266876.

Almost surely, 2106670600 is an apocalyptic number.

106670600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106670600 is an abundant number, since it is smaller than the sum of its proper divisors (141339010).

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

106670600 is a wasteful number, since it uses less digits than its factorization.

106670600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533369 (or 533360 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106670600 is about 10328.1460098122. The cubic root of 106670600 is about 474.2582698799.

The spelling of 106670600 in words is "one hundred six million, six hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 533353 1066706 2133412 2666765 4266824 5333530 10667060 13333825 21334120 26667650 53335300 106670600