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106250849 = 531132157
BaseRepresentation
bin1100101010101…
…00001001100001
321101221002202122
412111110021201
5204200011344
614313154025
72430055145
oct625241141
9241832678
10106250849
1154a80921
122b6bb915
1319021a33
141017b225
1594dbaee
hex6554261

106250849 has 12 divisors (see below), whose sum is σ = 109917756. Its totient is φ = 102665472.

The previous prime is 106250827. The next prime is 106250863. The reversal of 106250849 is 948052601.

It can be written as a sum of positive squares in 6 ways, for example, as 38353249 + 67897600 = 6193^2 + 8240^2 .

It is not a de Polignac number, because 106250849 - 224 = 89473633 is a prime.

It is a super-2 number, since 2×1062508492 = 22578485826441602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106250899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676679 + ... + 676835.

It is an arithmetic number, because the mean of its divisors is an integer number (9159813).

Almost surely, 2106250849 is an apocalyptic number.

It is an amenable number.

106250849 is a deficient number, since it is larger than the sum of its proper divisors (3666907).

106250849 is an equidigital number, since it uses as much as digits as its factorization.

106250849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 106250849 is about 10307.8052465110. The cubic root of 106250849 is about 473.6353801280.

The spelling of 106250849 in words is "one hundred six million, two hundred fifty thousand, eight hundred forty-nine".

Divisors: 1 53 113 157 5989 8321 12769 17741 676757 940273 2004733 106250849