105358087868880 has 1280 divisors, whose sum is σ = 424268433653760. Its totient is φ = 20986493337600.

The previous prime is 105358087868867. The next prime is 105358087868911. The reversal of 105358087868880 is 88868780853501.

It is a super-2 number, since 2×105358087868880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47738144737 + ... + 47738146943.

It is an arithmetic number, because the mean of its divisors is an integer number (331459713792).

Almost surely, 2^{105358087868880} is an apocalyptic number.

105358087868880 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 105358087868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212134216826880).

105358087868880 is an abundant number, since it is smaller than the sum of its proper divisors (318910345784880).

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

105358087868880 is a wasteful number, since it uses less digits than its factorization.

105358087868880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 75.

The spelling of 105358087868880 in words is "one hundred five trillion, three hundred fifty-eight billion, eighty-seven million, eight hundred sixty-eight thousand, eight hundred eighty".