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106951653 = 32127137683
BaseRepresentation
bin1100101111111…
…11001111100101
321110020201002100
412113333033211
5204334423103
614340202313
72436034254
oct627771745
9243221070
10106951653
115540a3a6
122b999399
1319208a03
14102c079b
1595c95a3
hex65ff3e5

106951653 has 24 divisors (see below), whose sum is σ = 157068288. Its totient is φ = 70120512.

The previous prime is 106951651. The next prime is 106951673. The reversal of 106951653 is 356159601.

It is not a de Polignac number, because 106951653 - 21 = 106951651 is a prime.

It is a super-2 number, since 2×1069516532 = 22877312158864818, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106951651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156250 + ... + 156932.

It is an arithmetic number, because the mean of its divisors is an integer number (6544512).

Almost surely, 2106951653 is an apocalyptic number.

It is an amenable number.

106951653 is a deficient number, since it is larger than the sum of its proper divisors (50116635).

106951653 is a wasteful number, since it uses less digits than its factorization.

106951653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 106951653 is about 10341.7432282957. The cubic root of 106951653 is about 474.6744258343.

The spelling of 106951653 in words is "one hundred six million, nine hundred fifty-one thousand, six hundred fifty-three".

Divisors: 1 3 9 127 137 381 411 683 1143 1233 2049 6147 17399 52197 86741 93571 156591 260223 280713 780669 842139 11883517 35650551 106951653