106005510534216 has 32 divisors (see below), whose sum is σ = 265014150672960. Its totient is φ = 35335120266432.

The previous prime is 106005510534193. The next prime is 106005510534239. The reversal of 106005510534216 is 612435015500601.

It is an interprime number because it is at equal distance from previous prime (106005510534193) and next prime (106005510534239).

It is a super-2 number, since 2×106005510534216² (a number of 29 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 7 ways as a sum of consecutive naturals, for example, 16828741 + ... + 22253483.

It is an arithmetic number, because the mean of its divisors is an integer number (8281692208530).

Almost surely, 2^{106005510534216} is an apocalyptic number.

It is an amenable number.

106005510534216 is an abundant number, since it is smaller than the sum of its proper divisors (159008640138744).

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

106005510534216 is a wasteful number, since it uses less digits than its factorization.

106005510534216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238965 (or 6238961 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 106005510534216 in words is "one hundred six trillion, five billion, five hundred ten million, five hundred thirty-four thousand, two hundred sixteen".