106273621 has 2 divisors, whose sum is σ = 106273622. Its totient is φ = 106273620.

The previous prime is 106273589. The next prime is 106273667. The reversal of 106273621 is 126372601.

106273621 = 7289² + 7290².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 53129521 = 7290^2 + 7289^2 .

It is an emirp because it is prime and its reverse (126372601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106273621 - 2⁵ = 106273589 is a prime.

It is a super-3 number, since 3×106273621³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106273621.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106273021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53136810 + 53136811.

It is an arithmetic number, because the mean of its divisors is an integer number (53136811).

Almost surely, 2^106273621 is an apocalyptic number.

106273621 is the 7290-th centered square number.

It is an amenable number.

106273621 is a deficient number, since it is larger than the sum of its proper divisors (1).

106273621 is an equidigital number, since it uses as much as digits as its factorization.

106273621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 106273621 is about 10308.9097871695. The cubic root of 106273621 is about 473.6692146951.

The spelling of 106273621 in words is "one hundred six million, two hundred seventy-three thousand, six hundred twenty-one".