106540009 has 2 divisors, whose sum is σ = 106540010. Its totient is φ = 106540008.

The previous prime is 106539967. The next prime is 106540051. The reversal of 106540009 is 900045601.

It is a balanced prime because it is at equal distance from previous prime (106539967) and next prime (106540051).

It can be written as a sum of positive squares in only one way, i.e., 87834384 + 18705625 = 9372^2 + 4325^2 .

It is a cyclic number.

It is not a de Polignac number, because 106540009 - 2¹⁵ = 106507241 is a prime.

It is a super-2 number, since 2×106540009² = 22701547035440162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106540079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53270004 + 53270005.

It is an arithmetic number, because the mean of its divisors is an integer number (53270005).

Almost surely, 2^106540009 is an apocalyptic number.

It is an amenable number.

106540009 is a deficient number, since it is larger than the sum of its proper divisors (1).

106540009 is an equidigital number, since it uses as much as digits as its factorization.

106540009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106540009 is about 10321.8219806389. The cubic root of 106540009 is about 474.0646546663.

The spelling of 106540009 in words is "one hundred six million, five hundred forty thousand, nine".