106805837 has 2 divisors, whose sum is σ = 106805838. Its totient is φ = 106805836.

The previous prime is 106805833. The next prime is 106805891. The reversal of 106805837 is 738508601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95922436 + 10883401 = 9794^2 + 3299^2 .

It is an emirp because it is prime and its reverse (738508601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106805837 - 2² = 106805833 is a prime.

It is a super-2 number, since 2×106805837² = 22814973634541138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106805837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106805833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53402918 + 53402919.

It is an arithmetic number, because the mean of its divisors is an integer number (53402919).

Almost surely, 2^106805837 is an apocalyptic number.

It is an amenable number.

106805837 is a deficient number, since it is larger than the sum of its proper divisors (1).

106805837 is an equidigital number, since it uses as much as digits as its factorization.

106805837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 106805837 is about 10334.6909484512. The cubic root of 106805837 is about 474.4586068060.

The spelling of 106805837 in words is "one hundred six million, eight hundred five thousand, eight hundred thirty-seven".