106451641 has 2 divisors, whose sum is σ = 106451642. Its totient is φ = 106451640.

The previous prime is 106451629. The next prime is 106451647. The reversal of 106451641 is 146154601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61293241 + 45158400 = 7829^2 + 6720^2 .

It is an emirp because it is prime and its reverse (146154601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106451641 - 2¹¹ = 106449593 is a prime.

It is a super-2 number, since 2×106451641² = 22663903743185762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106451647) 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, 53225820 + 53225821.

It is an arithmetic number, because the mean of its divisors is an integer number (53225821).

Almost surely, 2^106451641 is an apocalyptic number.

It is an amenable number.

106451641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106451641 is an equidigital number, since it uses as much as digits as its factorization.

106451641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106451641 is about 10317.5404530343. The cubic root of 106451641 is about 473.9335498247.

The spelling of 106451641 in words is "one hundred six million, four hundred fifty-one thousand, six hundred forty-one".