106530356064 has 48 divisors (see below), whose sum is σ = 305064204480. Its totient is φ = 32281925760.

The previous prime is 106530356059. The next prime is 106530356083. The reversal of 106530356064 is 460653035601.

It is a happy number.

106530356064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×106530356064² (a number of 23 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, 50439454 + ... + 50441565.

It is an arithmetic number, because the mean of its divisors is an integer number (6355504260).

Almost surely, 2^106530356064 is an apocalyptic number.

It is an amenable number.

106530356064 is an abundant number, since it is smaller than the sum of its proper divisors (198533848416).

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

106530356064 is a wasteful number, since it uses less digits than its factorization.

106530356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100881043 (or 100881035 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 106530356064 in words is "one hundred six billion, five hundred thirty million, three hundred fifty-six thousand, sixty-four".