105359217880 has 192 divisors, whose sum is σ = 292054429440. Its totient is φ = 34035902208.

The previous prime is 105359217877. The next prime is 105359217913. The reversal of 105359217880 is 88712953501.

It is a super-2 number, since 2×105359217880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002919 + ... + 3037801.

It is an arithmetic number, because the mean of its divisors is an integer number (1521116820).

Almost surely, 2^105359217880 is an apocalyptic number.

105359217880 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 105359217880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146027214720).

105359217880 is an abundant number, since it is smaller than the sum of its proper divisors (186695211560).

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

105359217880 is a wasteful number, since it uses less digits than its factorization.

105359217880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34998 (or 34987 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 49.

The spelling of 105359217880 in words is "one hundred five billion, three hundred fifty-nine million, two hundred seventeen thousand, eight hundred eighty".