105080976000 has 2304 divisors, whose sum is σ = 526142373120. Its totient is φ = 20155392000.

The previous prime is 105080975981. The next prime is 105080976017. The reversal of 105080976000 is 679080501.

105080976000 is a `hidden beast` number, since 1 + 0 + 508 + 0 + 97 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×105080976000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8083151994 + ... + 8083152006.

It is an arithmetic number, because the mean of its divisors is an integer number (228360405).

Almost surely, 2^105080976000 is an apocalyptic number.

105080976000 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 105080976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263071186560).

105080976000 is an abundant number, since it is smaller than the sum of its proper divisors (421061397120).

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

105080976000 is an frugal number, since it uses more digits than its factorization.

105080976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 105080976000 in words is "one hundred five billion, eighty million, nine hundred seventy-six thousand".