105084048000 has 256 divisors, whose sum is σ = 359595924480. Its totient is φ = 27118080000.

The previous prime is 105084047963. The next prime is 105084048007. The reversal of 105084048000 is 840480501.

It is a super-2 number, since 2×105084048000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105084048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452690 + ... + 1523310.

It is an arithmetic number, because the mean of its divisors is an integer number (1404671580).

Almost surely, 2^105084048000 is an apocalyptic number.

105084048000 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 105084048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179797962240).

105084048000 is an abundant number, since it is smaller than the sum of its proper divisors (254511876480).

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

105084048000 is an equidigital number, since it uses as much as digits as its factorization.

105084048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70684 (or 70662 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 105084048000 in words is "one hundred five billion, eighty-four million, forty-eight thousand".