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106823597 = 1710957649
BaseRepresentation
bin1100101110111…
…11111110101101
321110000012102112
412113133332231
5204321323342
614333333405
72434662026
oct627377655
9243005375
10106823597
1155332171
122b937265
131919263a
1410289c4d
1595a1682
hex65dffad

106823597 has 8 divisors (see below), whose sum is σ = 114147000. Its totient is φ = 99615744.

The previous prime is 106823581. The next prime is 106823623. The reversal of 106823597 is 795328601.

It can be written as a sum of positive squares in 4 ways, for example, as 76143076 + 30680521 = 8726^2 + 5539^2 .

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 106823597 - 24 = 106823581 is a prime.

It is a super-2 number, since 2×1068235972 = 22822561752036818, 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 (106823537) 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, 26972 + ... + 30677.

It is an arithmetic number, because the mean of its divisors is an integer number (14268375).

Almost surely, 2106823597 is an apocalyptic number.

106823597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106823597 is a deficient number, since it is larger than the sum of its proper divisors (7323403).

106823597 is a wasteful number, since it uses less digits than its factorization.

106823597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57775.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 106823597 is about 10335.5501546846. The cubic root of 106823597 is about 474.4849034894.

The spelling of 106823597 in words is "one hundred six million, eight hundred twenty-three thousand, five hundred ninety-seven".

Divisors: 1 17 109 1853 57649 980033 6283741 106823597