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106950516 = 223791011117
BaseRepresentation
bin1100101111111…
…10111101110100
321110020122112020
412113332331310
5204334404031
614340153140
72436031041
oct627767564
9243218466
10106950516
1155409562
122b9987b0
131920833a
14102c01c8
1595c9096
hex65fef74

106950516 has 48 divisors (see below), whose sum is σ = 255440640. Its totient is φ = 34819200.

The previous prime is 106950491. The next prime is 106950517. The reversal of 106950516 is 615059601.

It is a super-2 number, since 2×1069505162 = 22876825745332512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106950517) 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 15 ways as a sum of consecutive naturals, for example, 95190 + ... + 96306.

It is an arithmetic number, because the mean of its divisors is an integer number (5321680).

Almost surely, 2106950516 is an apocalyptic number.

It is an amenable number.

106950516 is an abundant number, since it is smaller than the sum of its proper divisors (148490124).

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

106950516 is a wasteful number, since it uses less digits than its factorization.

106950516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 106950516 is about 10341.6882567596. The cubic root of 106950516 is about 474.6727437449.

The spelling of 106950516 in words is "one hundred six million, nine hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 79 101 158 202 237 303 316 404 474 606 948 1117 1212 2234 3351 4468 6702 7979 13404 15958 23937 31916 47874 88243 95748 112817 176486 225634 264729 338451 352972 451268 529458 676902 1058916 1353804 8912543 17825086 26737629 35650172 53475258 106950516