106200013 has 2 divisors, whose sum is σ = 106200014. Its totient is φ = 106200012.

The previous prime is 106200007. The next prime is 106200019. The reversal of 106200013 is 310002601.

It is a balanced prime because it is at equal distance from previous prime (106200007) and next prime (106200019).

It can be written as a sum of positive squares in only one way, i.e., 99940009 + 6260004 = 9997^2 + 2502^2 .

It is a cyclic number.

It is not a de Polignac number, because 106200013 - 2¹³ = 106191821 is a prime.

It is a super-2 number, since 2×106200013² = 22556885522400338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106199966 and 106200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106200019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53100006 + 53100007.

It is an arithmetic number, because the mean of its divisors is an integer number (53100007).

Almost surely, 2^106200013 is an apocalyptic number.

It is an amenable number.

106200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106200013 is an equidigital number, since it uses as much as digits as its factorization.

106200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 106200013 is about 10305.3390531316. The cubic root of 106200013 is about 473.5598307106.

Adding to 106200013 its reverse (310002601), we get a palindrome (416202614).

The spelling of 106200013 in words is "one hundred six million, two hundred thousand, thirteen".