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106461150 = 2352709741
BaseRepresentation
bin1100101100001…
…11011111011110
321102022210020120
412112013133132
5204223224100
614321455410
72431622235
oct626073736
9242283216
10106461150
1155104924
122b7a1566
1319096683
14101d3b1c
15952e0a0
hex65877de

106461150 has 24 divisors (see below), whose sum is σ = 264024024. Its totient is φ = 28389600.

The previous prime is 106461149. The next prime is 106461167. The reversal of 106461150 is 51164601.

It is a super-2 number, since 2×1064611502 = 22667952918645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106461150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354721 + ... + 355020.

It is an arithmetic number, because the mean of its divisors is an integer number (11001001).

Almost surely, 2106461150 is an apocalyptic number.

106461150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106461150 is an abundant number, since it is smaller than the sum of its proper divisors (157562874).

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

106461150 is a wasteful number, since it uses less digits than its factorization.

106461150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709756 (or 709751 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106461150 is about 10318.0012599340. The cubic root of 106461150 is about 473.9476610835.

The spelling of 106461150 in words is "one hundred six million, four hundred sixty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 709741 1419482 2129223 3548705 4258446 7097410 10646115 17743525 21292230 35487050 53230575 106461150