106372121 has 2 divisors, whose sum is σ = 106372122. Its totient is φ = 106372120.

The previous prime is 106372109. The next prime is 106372181. The reversal of 106372121 is 121273601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84842521 + 21529600 = 9211^2 + 4640^2 .

It is an emirp because it is prime and its reverse (121273601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106372121 is a prime.

It is a super-2 number, since 2×106372121² = 22630056252077282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106372181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53186060 + 53186061.

It is an arithmetic number, because the mean of its divisors is an integer number (53186061).

Almost surely, 2^106372121 is an apocalyptic number.

It is an amenable number.

106372121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106372121 is an equidigital number, since it uses as much as digits as its factorization.

106372121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106372121 is about 10313.6861014867. The cubic root of 106372121 is about 473.8155100475.

The spelling of 106372121 in words is "one hundred six million, three hundred seventy-two thousand, one hundred twenty-one".