106510201050141 has 48 divisors (see below), whose sum is σ = 177570494824320. Its totient is φ = 60259256553600.

The previous prime is 106510201050133. The next prime is 106510201050157. The reversal of 106510201050141 is 141050102015601.

106510201050141 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 102 + 0 + 10 + 501 + 41 = 666.

It is not a de Polignac number, because 106510201050141 - 2³ = 106510201050133 is a prime.

It is a super-2 number, since 2×106510201050141² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106510201050161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446073295 + ... + 446312003.

It is an arithmetic number, because the mean of its divisors is an integer number (3699385308840).

Almost surely, 2^{106510201050141} is an apocalyptic number.

It is an amenable number.

106510201050141 is a deficient number, since it is larger than the sum of its proper divisors (71060293774179).

106510201050141 is a wasteful number, since it uses less digits than its factorization.

106510201050141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308946 (or 308943 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 106510201050141 its reverse (141050102015601), we get a palindrome (247560303065742).

The spelling of 106510201050141 in words is "one hundred six trillion, five hundred ten billion, two hundred one million, fifty thousand, one hundred forty-one".