106719169041 has 9 divisors (see below), whose sum is σ = 154151326459. Its totient is φ = 71145459336.

The previous prime is 106719168989. The next prime is 106719169061. The reversal of 106719169041 is 140961917601.

The square root of 106719169041 is 326679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48640097025 + 58079072016 = 220545^2 + 240996^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 106719169041 - 2¹⁷ = 106719037969 is a prime.

It is a super-2 number, since 2×106719169041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106719169061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 925591 + ... + 1034483.

Almost surely, 2^106719169041 is an apocalyptic number.

106719169041 is the 326679-th square number.

106719169041 is the 163340-th centered octagonal number.

It is an amenable number.

106719169041 is a deficient number, since it is larger than the sum of its proper divisors (47432157418).

106719169041 is an frugal number, since it uses more digits than its factorization.

106719169041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217792 (or 108896 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 106719169041 in words is "one hundred six billion, seven hundred nineteen million, one hundred sixty-nine thousand, forty-one".