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106072601 is a prime number
BaseRepresentation
bin1100101001010…
…00101000011001
321101121001020212
412110220220121
5204123310401
614305300505
72425413365
oct624505031
9241531225
10106072601
1154969a08
122b634735
1318c8b86b
14101322a5
1594a3dbb
hex6528a19

106072601 has 2 divisors, whose sum is σ = 106072602. Its totient is φ = 106072600.

The previous prime is 106072597. The next prime is 106072613. The reversal of 106072601 is 106270601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78499600 + 27573001 = 8860^2 + 5251^2 .

It is a cyclic number.

It is not a de Polignac number, because 106072601 - 22 = 106072597 is a prime.

It is a super-2 number, since 2×1060726012 = 22502793365810402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106072301) 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 as a sum of consecutive naturals, namely, 53036300 + 53036301.

It is an arithmetic number, because the mean of its divisors is an integer number (53036301).

Almost surely, 2106072601 is an apocalyptic number.

It is an amenable number.

106072601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106072601 is an equidigital number, since it uses as much as digits as its factorization.

106072601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106072601 is about 10299.1553537171. The cubic root of 106072601 is about 473.3703726333.

The spelling of 106072601 in words is "one hundred six million, seventy-two thousand, six hundred one".