106318463065824 has 48 divisors (see below), whose sum is σ = 286628829491088. Its totient is φ = 34481663695872.

The previous prime is 106318463065819. The next prime is 106318463065921. The reversal of 106318463065824 is 428560364813601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106318463065824² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14965996317 + ... + 14966003420.

It is an arithmetic number, because the mean of its divisors is an integer number (5971433947731).

Almost surely, 2^{106318463065824} is an apocalyptic number.

It is an amenable number.

106318463065824 is an abundant number, since it is smaller than the sum of its proper divisors (180310366425264).

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

106318463065824 is a wasteful number, since it uses less digits than its factorization.

106318463065824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29931999787 (or 29931999779 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 106318463065824 in words is "one hundred six trillion, three hundred eighteen billion, four hundred sixty-three million, sixty-five thousand, eight hundred twenty-four".