106504837 has 2 divisors, whose sum is σ = 106504838. Its totient is φ = 106504836.

The previous prime is 106504831. The next prime is 106504843. The reversal of 106504837 is 738405601.

It is a balanced prime because it is at equal distance from previous prime (106504831) and next prime (106504843).

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 35928036 = 8401^2 + 5994^2 .

It is an emirp because it is prime and its reverse (738405601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106504837 - 2³ = 106504829 is a prime.

It is a super-4 number, since 4×106504837⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106504831) 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, 53252418 + 53252419.

It is an arithmetic number, because the mean of its divisors is an integer number (53252419).

Almost surely, 2^106504837 is an apocalyptic number.

It is an amenable number.

106504837 is a deficient number, since it is larger than the sum of its proper divisors (1).

106504837 is an equidigital number, since it uses as much as digits as its factorization.

106504837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 106504837 is about 10320.1180710300. The cubic root of 106504837 is about 474.0124813487.

The spelling of 106504837 in words is "one hundred six million, five hundred four thousand, eight hundred thirty-seven".