105797131440 has 1280 divisors, whose sum is σ = 471713808384. Its totient is φ = 18896486400.

The previous prime is 105797131439. The next prime is 105797131499. The reversal of 105797131440 is 44131797501.

It is a super-2 number, since 2×105797131440² (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 = 105797131392 and 105797131401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 226546087 + ... + 226546553.

Almost surely, 2^105797131440 is an apocalyptic number.

105797131440 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 105797131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235856904192).

105797131440 is an abundant number, since it is smaller than the sum of its proper divisors (365916676944).

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

105797131440 is a wasteful number, since it uses less digits than its factorization.

105797131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 105797131440 in words is "one hundred five billion, seven hundred ninety-seven million, one hundred thirty-one thousand, four hundred forty".