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106934529 = 31315431777
BaseRepresentation
bin1100101111110…
…11000100000001
321110012211121010
412113323010001
5204333401104
614335551133
72435633322
oct627730401
9243184533
10106934529
11553a8549
122b98b4a9
1319200c90
14102b8449
1595c4489
hex65fb101

106934529 has 16 divisors (see below), whose sum is σ = 153732992. Its totient is φ = 65726208.

The previous prime is 106934483. The next prime is 106934537. The reversal of 106934529 is 925439601.

It is not a de Polignac number, because 106934529 - 212 = 106930433 is a prime.

It is a super-2 number, since 2×1069345292 = 22869986984903682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106934599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59289 + ... + 61065.

It is an arithmetic number, because the mean of its divisors is an integer number (9608312).

Almost surely, 2106934529 is an apocalyptic number.

It is an amenable number.

106934529 is a deficient number, since it is larger than the sum of its proper divisors (46798463).

106934529 is a wasteful number, since it uses less digits than its factorization.

106934529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 106934529 is about 10340.9152883098. The cubic root of 106934529 is about 474.6490911512.

The spelling of 106934529 in words is "one hundred six million, nine hundred thirty-four thousand, five hundred twenty-nine".

Divisors: 1 3 13 39 1543 1777 4629 5331 20059 23101 60177 69303 2741911 8225733 35644843 106934529