105056006006000 has 160 divisors (see below), whose sum is σ = 305594494033920. Its totient is φ = 34123454496000.

The previous prime is 105056006005919. The next prime is 105056006006047. The reversal of 105056006006000 is 600600650501.

It is a super-2 number, since 2×105056006006000² (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 31 ways as a sum of consecutive naturals, for example, 197207696 + ... + 197739695.

It is an arithmetic number, because the mean of its divisors is an integer number (1909965587712).

Almost surely, 2^{105056006006000} is an apocalyptic number.

105056006006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105056006006000 is an abundant number, since it is smaller than the sum of its proper divisors (200538488027920).

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

105056006006000 is a wasteful number, since it uses less digits than its factorization.

105056006006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394947440 (or 394947424 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 105056006006000 its reverse (600600650501), we get a palindrome (105656606656501).

The spelling of 105056006006000 in words is "one hundred five trillion, fifty-six billion, six million, six thousand".