105048830016000 has 4480 divisors, whose sum is σ = 451362622943232. Its totient is φ = 24186470400000.

The previous prime is 105048830015993. The next prime is 105048830016029. The reversal of 105048830016000 is 610038840501.

105048830016000 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 48 + 8 + 3 + 0 + 0 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×105048830016000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 695687615925 + ... + 695687616075.

Almost surely, 2^{105048830016000} is an apocalyptic number.

105048830016000 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 105048830016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225681311471616).

105048830016000 is an abundant number, since it is smaller than the sum of its proper divisors (346313792927232).

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

105048830016000 is an equidigital number, since it uses as much as digits as its factorization.

105048830016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 105048830016000 its reverse (610038840501), we get a palindrome (105658868856501).

The spelling of 105048830016000 in words is "one hundred five trillion, forty-eight billion, eight hundred thirty million, sixteen thousand".