106735568000 has 64 divisors (see below), whose sum is σ = 265371345720. Its totient is φ = 42694220800.

The previous prime is 106735567979. The next prime is 106735568003. The reversal of 106735568000 is 865537601.

It can be written as a sum of positive squares in 4 ways, for example, as 17085626944 + 89649941056 = 130712^2 + 299416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106735568000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106735568003) by changing a digit.

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, 3319487 + ... + 3351486.

Almost surely, 2^106735568000 is an apocalyptic number.

106735568000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106735568000 is an abundant number, since it is smaller than the sum of its proper divisors (158635777720).

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

106735568000 is an frugal number, since it uses more digits than its factorization.

106735568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671002 (or 6670980 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 106735568000 in words is "one hundred six billion, seven hundred thirty-five million, five hundred sixty-eight thousand".