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105356148 = 22322738677
BaseRepresentation
bin1100100011110…
…01101101110100
321100020122110120
412101321231310
5203432344043
614242051540
72416340532
oct621715564
9240218416
10105356148
115451a6a7
122b349bb0
1318a9a721
14ddc7152
1593b1983
hex6479b74

105356148 has 24 divisors (see below), whose sum is σ = 246920352. Its totient is φ = 34963104.

The previous prime is 105356143. The next prime is 105356171. The reversal of 105356148 is 841653501.

It is a super-3 number, since 3×1053561483 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105356143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16615 + ... + 22062.

It is an arithmetic number, because the mean of its divisors is an integer number (10288348).

Almost surely, 2105356148 is an apocalyptic number.

It is an amenable number.

105356148 is an abundant number, since it is smaller than the sum of its proper divisors (141564204).

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

105356148 is a wasteful number, since it uses less digits than its factorization.

105356148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38911 (or 38909 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105356148 is about 10264.3142976041. The cubic root of 105356148 is about 472.3021920533.

The spelling of 105356148 in words is "one hundred five million, three hundred fifty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 227 454 681 908 1362 2724 38677 77354 116031 154708 232062 464124 8779679 17559358 26339037 35118716 52678074 105356148