105061055000 has 320 divisors, whose sum is σ = 280035360000. Its totient is φ = 36590400000.

The previous prime is 105061054981. The next prime is 105061055027. The reversal of 105061055000 is 550160501.

It is a super-2 number, since 2×105061055000² (a number of 23 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 79 ways as a sum of consecutive naturals, for example, 317404835 + ... + 317405165.

It is an arithmetic number, because the mean of its divisors is an integer number (875110500).

Almost surely, 2^105061055000 is an apocalyptic number.

105061055000 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 105061055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140017680000).

105061055000 is an abundant number, since it is smaller than the sum of its proper divisors (174974305000).

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

105061055000 is a wasteful number, since it uses less digits than its factorization.

105061055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105061055000 in words is "one hundred five billion, sixty-one million, fifty-five thousand".