106965800504058 has 16 divisors (see below), whose sum is σ = 214008637988160. Its totient is φ = 35642427338016.

The previous prime is 106965800504053. The next prime is 106965800504071. The reversal of 106965800504058 is 850405008569601.

106965800504058 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106965800504058² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106965800503989 and 106965800504007.

It is not an unprimeable number, because it can be changed into a prime (106965800504053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209856118 + ... + 3209889441.

It is an arithmetic number, because the mean of its divisors is an integer number (13375539874260).

Almost surely, 2^{106965800504058} is an apocalyptic number.

106965800504058 is an abundant number, since it is smaller than the sum of its proper divisors (107042837484102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106965800504058 is a wasteful number, since it uses less digits than its factorization.

106965800504058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419748341.

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 106965800504058 in words is "one hundred six trillion, nine hundred sixty-five billion, eight hundred million, five hundred four thousand, fifty-eight".