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106416424 = 2313302053
BaseRepresentation
bin1100101011111…
…00100100101000
321102020111220001
412111330210220
5204220311144
614320512344
72431344652
oct625744450
9242214801
10106416424
1155084264
122b77b6b4
131907c1ca
14101c16d2
159520bd4
hex657c928

106416424 has 8 divisors (see below), whose sum is σ = 199530810. Its totient is φ = 53208208.

The previous prime is 106416419. The next prime is 106416437. The reversal of 106416424 is 424614601.

It can be written as a sum of positive squares in only one way, i.e., 54316900 + 52099524 = 7370^2 + 7218^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1064164242 = 22648910593895552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106416392 and 106416401.

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 as a sum of consecutive naturals, namely, 6651019 + ... + 6651034.

Almost surely, 2106416424 is an apocalyptic number.

It is an amenable number.

106416424 is a deficient number, since it is larger than the sum of its proper divisors (93114386).

106416424 is a wasteful number, since it uses less digits than its factorization.

106416424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302059 (or 13302055 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 106416424 is about 10315.8336551148. The cubic root of 106416424 is about 473.8812808365.

The spelling of 106416424 in words is "one hundred six million, four hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13302053 26604106 53208212 106416424