105640127880 has 512 divisors, whose sum is σ = 381285273600. Its totient is φ = 22915436544.

The previous prime is 105640127863. The next prime is 105640127917. The reversal of 105640127880 is 88721046501.

It is a super-2 number, since 2×105640127880² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266095842 + ... + 266096238.

It is an arithmetic number, because the mean of its divisors is an integer number (744697800).

Almost surely, 2^105640127880 is an apocalyptic number.

105640127880 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 105640127880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190642636800).

105640127880 is an abundant number, since it is smaller than the sum of its proper divisors (275645145720).

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

105640127880 is a wasteful number, since it uses less digits than its factorization.

105640127880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 105640127880 in words is "one hundred five billion, six hundred forty million, one hundred twenty-seven thousand, eight hundred eighty".