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106666060 = 22529183907
BaseRepresentation
bin1100101101110…
…01100001001100
321102201012022211
412112321201030
5204301303220
614330120204
72433434524
oct626714114
9242635284
10106666060
1155234876
122b880064
1319138a17
1410248684
15956eb5a
hex65b984c

106666060 has 24 divisors (see below), whose sum is σ = 231724080. Its totient is φ = 41194944.

The previous prime is 106666033. The next prime is 106666099. The reversal of 106666060 is 60666601.

It is a super-2 number, since 2×1066660602 = 22755296711847200, 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 7 ways as a sum of consecutive naturals, for example, 91374 + ... + 92533.

It is an arithmetic number, because the mean of its divisors is an integer number (9655170).

Almost surely, 2106666060 is an apocalyptic number.

106666060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106666060 is an abundant number, since it is smaller than the sum of its proper divisors (125058020).

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

106666060 is a wasteful number, since it uses less digits than its factorization.

106666060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183945 (or 183943 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 106666060 is about 10327.9262197210. The cubic root of 106666060 is about 474.2515414934.

The spelling of 106666060 in words is "one hundred six million, six hundred sixty-six thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 183907 367814 735628 919535 1839070 3678140 5333303 10666606 21333212 26666515 53333030 106666060