105793036440 has 384 divisors, whose sum is σ = 402651648000. Its totient is φ = 22037363712.

The previous prime is 105793036429. The next prime is 105793036441. The reversal of 105793036440 is 44630397501.

It is a super-2 number, since 2×105793036440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105793036392 and 105793036401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105793036441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6030001 + ... + 6047519.

It is an arithmetic number, because the mean of its divisors is an integer number (1048572000).

Almost surely, 2^105793036440 is an apocalyptic number.

105793036440 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 105793036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325824000).

105793036440 is an abundant number, since it is smaller than the sum of its proper divisors (296858611560).

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

105793036440 is a wasteful number, since it uses less digits than its factorization.

105793036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17639 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 105793036440 in words is "one hundred five billion, seven hundred ninety-three million, thirty-six thousand, four hundred forty".