106521105500175 has 48 divisors (see below), whose sum is σ = 178547992875648. Its totient is φ = 56031706972800.

The previous prime is 106521105500149. The next prime is 106521105500231. The reversal of 106521105500175 is 571005501125601.

It is a happy number.

It is not a de Polignac number, because 106521105500175 - 2²⁷ = 106520971282447 is a prime.

It is a super-2 number, since 2×106521105500175² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31655712 + ... + 34858661.

It is an arithmetic number, because the mean of its divisors is an integer number (3719749851576).

Almost surely, 2^{106521105500175} is an apocalyptic number.

106521105500175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106521105500175 is a deficient number, since it is larger than the sum of its proper divisors (72026887375473).

106521105500175 is a wasteful number, since it uses less digits than its factorization.

106521105500175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66514680 (or 66514675 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 39.

Adding to 106521105500175 its reverse (571005501125601), we get a palindrome (677526606625776).

The spelling of 106521105500175 in words is "one hundred six trillion, five hundred twenty-one billion, one hundred five million, five hundred thousand, one hundred seventy-five".