106648618041 has 27 divisors (see below), whose sum is σ = 179210222373. Its totient is φ = 60938148600.

The previous prime is 106648618007. The next prime is 106648618067. The reversal of 106648618041 is 140816846601.

The square root of 106648618041 is 326571.

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

It is not a de Polignac number, because 106648618041 - 2¹³ = 106648609849 is a prime.

It is a super-2 number, since 2×106648618041² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106648618541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6850216 + ... + 6865766.

Almost surely, 2^106648618041 is an apocalyptic number.

106648618041 is the 326571-st square number.

106648618041 is the 163286-th centered octagonal number.

It is an amenable number.

106648618041 is a deficient number, since it is larger than the sum of its proper divisors (72561604332).

106648618041 is an frugal number, since it uses more digits than its factorization.

106648618041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31122 (or 15561 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 106648618041 in words is "one hundred six billion, six hundred forty-eight million, six hundred eighteen thousand, forty-one".