106933546806075 has 72 divisors (see below), whose sum is σ = 208944299740176. Its totient is φ = 51845915520000.

The previous prime is 106933546806061. The next prime is 106933546806127. The reversal of 106933546806075 is 570608645339601.

106933546806075 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 3 + 546 + 80 + 6 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 106933546806075 - 2⁸ = 106933546805819 is a prime.

It is a super-2 number, since 2×106933546806075² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238863847 + ... + 239311103.

It is an arithmetic number, because the mean of its divisors is an integer number (2902004163058).

Almost surely, 2^{106933546806075} is an apocalyptic number.

106933546806075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106933546806075 is a deficient number, since it is larger than the sum of its proper divisors (102010752934101).

106933546806075 is a wasteful number, since it uses less digits than its factorization.

106933546806075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543885 (or 543877 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 106933546806075 in words is "one hundred six trillion, nine hundred thirty-three billion, five hundred forty-six million, eight hundred six thousand, seventy-five".