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106609878 = 23310718451
BaseRepresentation
bin1100101101010…
…11110011010110
321102121100021000
412112223303112
5204243004003
614325004130
72433111654
oct626536326
9242540230
10106609878
11551a6641
122b853646
131911928b
1410231dd4
15955d1a3
hex65abcd6

106609878 has 32 divisors (see below), whose sum is σ = 239137920. Its totient is φ = 35202600.

The previous prime is 106609861. The next prime is 106609879. The reversal of 106609878 is 878906601.

It is a happy number.

It is a super-2 number, since 2×1066098782 = 22731332174349768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106609879) 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, 3448 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (7473060).

Almost surely, 2106609878 is an apocalyptic number.

106609878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106609878 is an abundant number, since it is smaller than the sum of its proper divisors (132528042).

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

106609878 is a wasteful number, since it uses less digits than its factorization.

106609878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18569 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 106609878 is about 10325.2059543624. The cubic root of 106609878 is about 474.1682626465.

The spelling of 106609878 in words is "one hundred six million, six hundred nine thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 18451 36902 55353 110706 166059 332118 498177 996354 1974257 3948514 5922771 11845542 17768313 35536626 53304939 106609878