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106953273 = 32717372699
BaseRepresentation
bin1100101111111…
…11101000111001
321110020210022100
412113333220321
5204340001043
614340214013
72436042060
oct627775071
9243223270
10106953273
1155410639
122b99a309
131920967b
14102c11d7
1595c9cd3
hex65ffa39

106953273 has 48 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 55945728.

The previous prime is 106953263. The next prime is 106953277. The reversal of 106953273 is 372359601.

It is not a de Polignac number, because 106953273 - 217 = 106822201 is a prime.

It is a super-2 number, since 2×1069532732 = 22878005210825058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106953277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38278 + ... + 40976.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2106953273 is an apocalyptic number.

It is an amenable number.

106953273 is a deficient number, since it is larger than the sum of its proper divisors (85113927).

106953273 is a wasteful number, since it uses less digits than its factorization.

106953273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 106953273 is about 10341.8215513516. The cubic root of 106953273 is about 474.6768224583.

The spelling of 106953273 in words is "one hundred six million, nine hundred fifty-three thousand, two hundred seventy-three".

Divisors: 1 3 7 9 17 21 37 51 63 111 119 153 259 333 357 629 777 1071 1887 2331 2699 4403 5661 8097 13209 18893 24291 39627 45883 56679 99863 137649 170037 299589 321181 412947 699041 898767 963543 1697671 2097123 2890629 5093013 6291369 11883697 15279039 35651091 106953273