105556245000 has 320 divisors, whose sum is σ = 336177388800. Its totient is φ = 27605760000.

The previous prime is 105556244999. The next prime is 105556245013. The reversal of 105556245000 is 542655501.

It is a super-2 number, since 2×105556245000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332984842 + ... + 332985158.

It is an arithmetic number, because the mean of its divisors is an integer number (1050554340).

Almost surely, 2^105556245000 is an apocalyptic number.

105556245000 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 105556245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168088694400).

105556245000 is an abundant number, since it is smaller than the sum of its proper divisors (230621143800).

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

105556245000 is a wasteful number, since it uses less digits than its factorization.

105556245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 105556245000 in words is "one hundred five billion, five hundred fifty-six million, two hundred forty-five thousand".