105798219800 has 576 divisors, whose sum is σ = 327669027840. Its totient is φ = 30876595200.

The previous prime is 105798219773. The next prime is 105798219841. The reversal of 105798219800 is 8912897501.

It is a super-2 number, since 2×105798219800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 402274469 + ... + 402274731.

It is an arithmetic number, because the mean of its divisors is an integer number (568869840).

Almost surely, 2^105798219800 is an apocalyptic number.

105798219800 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 105798219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163834513920).

105798219800 is an abundant number, since it is smaller than the sum of its proper divisors (221870808040).

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

105798219800 is a wasteful number, since it uses less digits than its factorization.

105798219800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 105798219800 in words is "one hundred five billion, seven hundred ninety-eight million, two hundred nineteen thousand, eight hundred".