106180056875 has 40 divisors (see below), whose sum is σ = 137655936000. Its totient is φ = 81787860000.

The previous prime is 106180056833. The next prime is 106180056881. The reversal of 106180056875 is 578650081601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-106180056875 is a prime.

It is a super-2 number, since 2×106180056875² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 3841856 + ... + 3869394.

It is an arithmetic number, because the mean of its divisors is an integer number (3441398400).

Almost surely, 2^106180056875 is an apocalyptic number.

106180056875 is a deficient number, since it is larger than the sum of its proper divisors (31475879125).

106180056875 is an equidigital number, since it uses as much as digits as its factorization.

106180056875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27789 (or 27774 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 106180056875 in words is "one hundred six billion, one hundred eighty million, fifty-six thousand, eight hundred seventy-five".