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106268765 = 5101320981
BaseRepresentation
bin1100101010110…
…00100001011101
321101222000100012
412111120201131
5204201100030
614313413005
72430161321
oct625304135
9241860305
10106268765
1154a93329
122b70a165
1319029c35
1410183981
1594e2095
hex655885d

106268765 has 8 divisors (see below), whose sum is σ = 127654488. Its totient is φ = 84927040.

The previous prime is 106268749. The next prime is 106268779. The reversal of 106268765 is 567862601.

It can be written as a sum of positive squares in 4 ways, for example, as 219961 + 106048804 = 469^2 + 10298^2 .

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

It is not a de Polignac number, because 106268765 - 24 = 106268749 is a prime.

It is a super-2 number, since 2×1062687652 = 22586100829250450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5426 + ... + 15555.

It is an arithmetic number, because the mean of its divisors is an integer number (15956811).

Almost surely, 2106268765 is an apocalyptic number.

It is an amenable number.

106268765 is a deficient number, since it is larger than the sum of its proper divisors (21385723).

106268765 is a wasteful number, since it uses less digits than its factorization.

106268765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21999.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 106268765 is about 10308.6742600589. The cubic root of 106268765 is about 473.6620000708.

It can be divided in two parts, 10626 and 8765, that added together give a palindrome (19391).

The spelling of 106268765 in words is "one hundred six million, two hundred sixty-eight thousand, seven hundred sixty-five".

Divisors: 1 5 1013 5065 20981 104905 21253753 106268765