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106660120 = 2357380929
BaseRepresentation
bin1100101101110…
…00000100011000
321102200220011211
412112320010120
5204301110440
614330032504
72433411310
oct626700430
9242626154
10106660120
1155230366
122b878734
13191360c8
1410246440
15956ceea
hex65b8118

106660120 has 32 divisors (see below), whose sum is σ = 274269600. Its totient is φ = 36569088.

The previous prime is 106660111. The next prime is 106660123. The reversal of 106660120 is 21066601.

It is a super-2 number, since 2×1066601202 = 22752762396828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106660091 and 106660100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106660123) 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 7 ways as a sum of consecutive naturals, for example, 190185 + ... + 190744.

It is an arithmetic number, because the mean of its divisors is an integer number (8570925).

Almost surely, 2106660120 is an apocalyptic number.

106660120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106660120 is an abundant number, since it is smaller than the sum of its proper divisors (167609480).

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

106660120 is a wasteful number, since it uses less digits than its factorization.

106660120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380947 (or 380943 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106660120 is about 10327.6386458861. The cubic root of 106660120 is about 474.2427379857.

The spelling of 106660120 in words is "one hundred six million, six hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 380929 761858 1523716 1904645 2666503 3047432 3809290 5333006 7618580 10666012 13332515 15237160 21332024 26665030 53330060 106660120