106500941 has 8 divisors (see below), whose sum is σ = 108152184. Its totient is φ = 104855040.

The previous prime is 106500931. The next prime is 106500949. The reversal of 106500941 is 149005601.

It can be written as a sum of positive squares in 4 ways, for example, as 10048900 + 96452041 = 3170^2 + 9821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106500941 is a prime.

It is a super-3 number, since 3×106500941³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106500941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106500949) 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 in 7 ways as a sum of consecutive naturals, for example, 59045 + ... + 60821.

It is an arithmetic number, because the mean of its divisors is an integer number (13519023).

Almost surely, 2^106500941 is an apocalyptic number.

It is an amenable number.

106500941 is a deficient number, since it is larger than the sum of its proper divisors (1651243).

106500941 is an equidigital number, since it uses as much as digits as its factorization.

106500941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106500941 is about 10319.9293117734. The cubic root of 106500941 is about 474.0067014073.

The spelling of 106500941 in words is "one hundred six million, five hundred thousand, nine hundred forty-one".