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106682148 = 22325950227
BaseRepresentation
bin1100101101111…
…01011100100100
321102202000101200
412112331130210
5204302312043
614330322500
72433532446
oct626753444
9242660350
10106682148
1155245971
122b889430
1319143141
1410250496
1595747d3
hex65bd724

106682148 has 36 divisors (see below), whose sum is σ = 274244880. Its totient is φ = 34957296.

The previous prime is 106682143. The next prime is 106682189. The reversal of 106682148 is 841286601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1066821482 = 22762161403787808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106682143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22990 + ... + 27237.

Almost surely, 2106682148 is an apocalyptic number.

106682148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106682148 is an abundant number, since it is smaller than the sum of its proper divisors (167562732).

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

106682148 is a wasteful number, since it uses less digits than its factorization.

106682148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50296 (or 50291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106682148 is about 10328.7050495210. The cubic root of 106682148 is about 474.2753834266.

The spelling of 106682148 in words is "one hundred six million, six hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 50227 100454 150681 200908 301362 452043 602724 904086 1808172 2963393 5926786 8890179 11853572 17780358 26670537 35560716 53341074 106682148