106761641 has 12 divisors (see below), whose sum is σ = 125592660. Its totient is φ = 90478080.

The previous prime is 106761623. The next prime is 106761643. The reversal of 106761641 is 146167601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7958041 + 98803600 = 2821^2 + 9940^2 .

It is not a de Polignac number, because 106761641 - 2¹⁰ = 106760617 is a prime.

It is a super-2 number, since 2×106761641² = 22796095978025762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106761598 and 106761607.

It is not an unprimeable number, because it can be changed into a prime (106761643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7880 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (10466055).

Almost surely, 2^106761641 is an apocalyptic number.

It is an amenable number.

106761641 is a deficient number, since it is larger than the sum of its proper divisors (18831019).

106761641 is an equidigital number, since it uses as much as digits as its factorization.

106761641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24584 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 106761641 is about 10332.5524920031. The cubic root of 106761641 is about 474.3931544981.

The spelling of 106761641 in words is "one hundred six million, seven hundred sixty-one thousand, six hundred forty-one".