106065102063264 has 24 divisors (see below), whose sum is σ = 278420892916320. Its totient is φ = 35355034021056.

The previous prime is 106065102063251. The next prime is 106065102063281. The reversal of 106065102063264 is 462360201560601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106065102063264² (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 3 ways as a sum of consecutive naturals, for example, 552422406484 + ... + 552422406675.

It is an arithmetic number, because the mean of its divisors is an integer number (11600870538180).

Almost surely, 2^{106065102063264} is an apocalyptic number.

It is an amenable number.

106065102063264 is an abundant number, since it is smaller than the sum of its proper divisors (172355790853056).

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

106065102063264 is a wasteful number, since it uses less digits than its factorization.

106065102063264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104844813172 (or 1104844813164 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 106065102063264 in words is "one hundred six trillion, sixty-five billion, one hundred two million, sixty-three thousand, two hundred sixty-four".