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106904753 = 418929297
BaseRepresentation
bin1100101111100…
…11110010110001
321110011022202022
412113303302301
5204331423003
614335201225
72435450444
oct627636261
9243138668
10106904753
115538813a
122b976215
13191c0567
14102ab65b
1595ba738
hex65f3cb1

106904753 has 8 divisors (see below), whose sum is σ = 110746440. Its totient is φ = 103121920.

The previous prime is 106904737. The next prime is 106904797. The reversal of 106904753 is 357409601.

It can be written as a sum of positive squares in 4 ways, for example, as 237169 + 106667584 = 487^2 + 10328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106904753 - 24 = 106904737 is a prime.

It is a super-2 number, since 2×1069047532 = 22857252427982018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106904723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11000 + ... + 18297.

It is an arithmetic number, because the mean of its divisors is an integer number (13843305).

Almost surely, 2106904753 is an apocalyptic number.

It is an amenable number.

106904753 is a deficient number, since it is larger than the sum of its proper divisors (3841687).

106904753 is an equidigital number, since it uses as much as digits as its factorization.

106904753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29427.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 106904753 is about 10339.4754702548. The cubic root of 106904753 is about 474.6050315960.

The spelling of 106904753 in words is "one hundred six million, nine hundred four thousand, seven hundred fifty-three".

Divisors: 1 41 89 3649 29297 1201177 2607433 106904753