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106952850 = 23252237673
BaseRepresentation
bin1100101111111…
…11100010010010
321110020202201200
412113333202102
5204334442400
614340212030
72436040614
oct627774222
9243222650
10106952850
1155410294
122b99a016
1319209414
14102c0db4
1595c9b00
hex65ff892

106952850 has 36 divisors (see below), whose sum is σ = 287347866. Its totient is φ = 28520640.

The previous prime is 106952849. The next prime is 106952861. The reversal of 106952850 is 58259601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42263001 + 64689849 = 6501^2 + 8043^2 .

It is a super-2 number, since 2×1069528502 = 22877824246245000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118387 + ... + 119286.

Almost surely, 2106952850 is an apocalyptic number.

106952850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106952850 is an abundant number, since it is smaller than the sum of its proper divisors (180395016).

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

106952850 is a wasteful number, since it uses less digits than its factorization.

106952850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237691 (or 237683 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 106952850 is about 10341.8011003887. The cubic root of 106952850 is about 474.6761966755.

The spelling of 106952850 in words is "one hundred six million, nine hundred fifty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 237673 475346 713019 1188365 1426038 2139057 2376730 3565095 4278114 5941825 7130190 10695285 11883650 17825475 21390570 35650950 53476425 106952850