105409230048 has 144 divisors (see below), whose sum is σ = 317752134336. Its totient is φ = 33031864320.

The previous prime is 105409230011. The next prime is 105409230061. The reversal of 105409230048 is 840032904501.

105409230048 is a `hidden beast` number, since 10 + 5 + 409 + 230 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105409230048² (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 junction number, because it is equal to n+sod(n) for n = 105409229994 and 105409230021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4448440 + ... + 4472072.

It is an arithmetic number, because the mean of its divisors is an integer number (2206612044).

Almost surely, 2^105409230048 is an apocalyptic number.

105409230048 is a gapful number since it is divisible by the number (18) 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 105409230048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158876067168).

105409230048 is an abundant number, since it is smaller than the sum of its proper divisors (212342904288).

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

105409230048 is a wasteful number, since it uses less digits than its factorization.

105409230048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24577 (or 24566 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105409230048 in words is "one hundred five billion, four hundred nine million, two hundred thirty thousand, forty-eight".