105601101056000 has 384 divisors, whose sum is σ = 290319036658560. Its totient is φ = 38020096000000.

The previous prime is 105601101055949. The next prime is 105601101056023. The reversal of 105601101056000 is 650101106501.

105601101056000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105601101056000² (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 31 ways as a sum of consecutive naturals, for example, 284230355 + ... + 284601645.

It is an arithmetic number, because the mean of its divisors is an integer number (756039157965).

Almost surely, 2^{105601101056000} is an apocalyptic number.

105601101056000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105601101056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145159518329280).

105601101056000 is an abundant number, since it is smaller than the sum of its proper divisors (184717935602560).

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

105601101056000 is a wasteful number, since it uses less digits than its factorization.

105601101056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371440 (or 371410 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105601101056000 in words is "one hundred five trillion, six hundred one billion, one hundred one million, fifty-six thousand".