106813621 has 2 divisors, whose sum is σ = 106813622. Its totient is φ = 106813620.

The previous prime is 106813579. The next prime is 106813639. The reversal of 106813621 is 126318601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88623396 + 18190225 = 9414^2 + 4265^2 .

It is an emirp because it is prime and its reverse (126318601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106813621 - 2²⁵ = 73259189 is a prime.

It is a super-2 number, since 2×106813621² = 22818299262263282, 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 106813621.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106810621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53406810 + 53406811.

It is an arithmetic number, because the mean of its divisors is an integer number (53406811).

Almost surely, 2^106813621 is an apocalyptic number.

It is an amenable number.

106813621 is a deficient number, since it is larger than the sum of its proper divisors (1).

106813621 is an equidigital number, since it uses as much as digits as its factorization.

106813621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106813621 is about 10335.0675372733. The cubic root of 106813621 is about 474.4701326931.

The spelling of 106813621 in words is "one hundred six million, eight hundred thirteen thousand, six hundred twenty-one".