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106445124 = 22334322921
BaseRepresentation
bin1100101100000…
…11100101000100
321102021222021000
412112003211010
5204222220444
614321253300
72431524432
oct626034504
9242258230
10106445124
11550a3885
122b794230
131908c2a6
14101cbd52
159529469
hex6583944

106445124 has 48 divisors (see below), whose sum is σ = 282399040. Its totient is φ = 34655040.

The previous prime is 106445123. The next prime is 106445137. The reversal of 106445124 is 421544601.

106445124 is a `hidden beast` number, since 1 + 0 + 644 + 5 + 12 + 4 = 666.

It is a super-2 number, since 2×1064451242 = 22661128846750752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106445123) 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 15 ways as a sum of consecutive naturals, for example, 6817 + ... + 16104.

Almost surely, 2106445124 is an apocalyptic number.

It is an amenable number.

106445124 is an abundant number, since it is smaller than the sum of its proper divisors (175953916).

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

106445124 is a wasteful number, since it uses less digits than its factorization.

106445124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22977 (or 22969 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 106445124 is about 10317.2246268073. The cubic root of 106445124 is about 473.9238781781.

Adding to 106445124 its reverse (421544601), we get a palindrome (527989725).

The spelling of 106445124 in words is "one hundred six million, four hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 22921 45842 68763 91684 137526 206289 275052 412578 618867 825156 985603 1237734 1971206 2475468 2956809 3942412 5913618 8870427 11827236 17740854 26611281 35481708 53222562 106445124