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106230753 = 3215775181
BaseRepresentation
bin1100101010011…
…11001111100001
321101220002012100
412111033033201
5204143341003
614312521013
72426642436
oct625171741
9241802170
10106230753
1154a67812
122b6b0169
1319015845
1410173b8d
1594d5ba3
hex654f3e1

106230753 has 12 divisors (see below), whose sum is σ = 154423828. Its totient is φ = 70368480.

The previous prime is 106230749. The next prime is 106230757. The reversal of 106230753 is 357032601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106230749) and next prime (106230757).

It can be written as a sum of positive squares in 2 ways, for example, as 47983329 + 58247424 = 6927^2 + 7632^2 .

It is not a de Polignac number, because 106230753 - 22 = 106230749 is a prime.

It is a super-3 number, since 3×1062307533 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106230757) 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, 36178 + ... + 39003.

Almost surely, 2106230753 is an apocalyptic number.

It is an amenable number.

106230753 is a deficient number, since it is larger than the sum of its proper divisors (48193075).

106230753 is a wasteful number, since it uses less digits than its factorization.

106230753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75344 (or 75341 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 106230753 is about 10306.8304051246. The cubic root of 106230753 is about 473.6055175376.

The spelling of 106230753 in words is "one hundred six million, two hundred thirty thousand, seven hundred fifty-three".

Divisors: 1 3 9 157 471 1413 75181 225543 676629 11803417 35410251 106230753