106056060560 has 40 divisors (see below), whose sum is σ = 246607519680. Its totient is φ = 42417748352.

The previous prime is 106056060527. The next prime is 106056060581. The reversal of 106056060560 is 65060650601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106056060560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106056060560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709319 + ... + 845721.

It is an arithmetic number, because the mean of its divisors is an integer number (6165187992).

Almost surely, 2^106056060560 is an apocalyptic number.

106056060560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106056060560 is an abundant number, since it is smaller than the sum of its proper divisors (140551459120).

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

106056060560 is a wasteful number, since it uses less digits than its factorization.

106056060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146135 (or 146129 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 106056060560 in words is "one hundred six billion, fifty-six million, sixty thousand, five hundred sixty".