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106378597 = 1320174057
BaseRepresentation
bin1100101011100…
…11010101100101
321102011121000001
412111303111211
5204213103342
614320021301
72431126453
oct625632545
9242147001
10106378597
11550588a6
122b761831
1319067c20
14101b19d3
1595148b7
hex6573565

106378597 has 8 divisors (see below), whose sum is σ = 114646616. Its totient is φ = 98122752.

The previous prime is 106378567. The next prime is 106378609. The reversal of 106378597 is 795873601.

It is a Cunningham number, because it is equal to 103142+1.

It can be written as a sum of positive squares in 4 ways, for example, as 15729156 + 90649441 = 3966^2 + 9521^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-106378597 is a prime.

It is a super-2 number, since 2×1063785972 = 22632811799376818, 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 (106378567) 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, 24193 + ... + 28249.

It is an arithmetic number, because the mean of its divisors is an integer number (14330827).

Almost surely, 2106378597 is an apocalyptic number.

It is an amenable number.

106378597 is a deficient number, since it is larger than the sum of its proper divisors (8268019).

106378597 is a wasteful number, since it uses less digits than its factorization.

106378597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 106378597 is about 10314.0000484778. Note that the first 4 decimals coincide. The cubic root of 106378597 is about 473.8251252454.

The spelling of 106378597 in words is "one hundred six million, three hundred seventy-eight thousand, five hundred ninety-seven".

Divisors: 1 13 2017 4057 26221 52741 8182969 106378597