106451441 has 2 divisors, whose sum is σ = 106451442. Its totient is φ = 106451440.

The previous prime is 106451437. The next prime is 106451459. The reversal of 106451441 is 144154601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103632400 + 2819041 = 10180^2 + 1679^2 .

It is a cyclic number.

It is not a de Polignac number, because 106451441 - 2² = 106451437 is a prime.

It is a super-2 number, since 2×106451441² = 22663818581952962, 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 106451441.

It is not a weakly prime, because it can be changed into another prime (106451041) 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, 53225720 + 53225721.

It is an arithmetic number, because the mean of its divisors is an integer number (53225721).

Almost surely, 2^106451441 is an apocalyptic number.

It is an amenable number.

106451441 is a deficient number, since it is larger than the sum of its proper divisors (1).

106451441 is an equidigital number, since it uses as much as digits as its factorization.

106451441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 106451441 is about 10317.5307607974. The cubic root of 106451441 is about 473.9332530178.

The spelling of 106451441 in words is "one hundred six million, four hundred fifty-one thousand, four hundred forty-one".