105249673760 has 384 divisors, whose sum is σ = 330364790784. Its totient is φ = 30676008960.

The previous prime is 105249673759. The next prime is 105249673801. The reversal of 105249673760 is 67376942501.

It is a super-2 number, since 2×105249673760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105249673699 and 105249673708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34137179 + ... + 34140261.

It is an arithmetic number, because the mean of its divisors is an integer number (860324976).

Almost surely, 2^105249673760 is an apocalyptic number.

105249673760 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 105249673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165182395392).

105249673760 is an abundant number, since it is smaller than the sum of its proper divisors (225115117024).

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

105249673760 is a wasteful number, since it uses less digits than its factorization.

105249673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 105249673760 in words is "one hundred five billion, two hundred forty-nine million, six hundred seventy-three thousand, seven hundred sixty".