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106848959 = 731512063
BaseRepresentation
bin1100101111001…
…10001010111111
321110001111012212
412113212022333
5204323131314
614334051035
72435126000
oct627461277
9243044185
10106848959
115534a228
122b949a7b
13191a1049
14102951a7
1595a8e3e
hex65e62bf

106848959 has 16 divisors (see below), whose sum is σ = 125491200. Its totient is φ = 90934200.

The previous prime is 106848953. The next prime is 106848967. The reversal of 106848959 is 959848601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106848959 is a prime.

It is a super-2 number, since 2×1068489592 = 22833400078767362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106848953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50762 + ... + 52824.

It is an arithmetic number, because the mean of its divisors is an integer number (7843200).

Almost surely, 2106848959 is an apocalyptic number.

106848959 is a deficient number, since it is larger than the sum of its proper divisors (18642241).

106848959 is an equidigital number, since it uses as much as digits as its factorization.

106848959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 106848959 is about 10336.7770122026. Note that the first 3 decimals coincide. The cubic root of 106848959 is about 474.5224511668.

The spelling of 106848959 in words is "one hundred six million, eight hundred forty-eight thousand, nine hundred fifty-nine".

Divisors: 1 7 49 151 343 1057 2063 7399 14441 51793 101087 311513 707609 2180591 15264137 106848959