1086821822100 has 288 divisors, whose sum is σ = 3787153606656. Its totient is φ = 235262016000.

The previous prime is 1086821822071. The next prime is 1086821822111. The reversal of 1086821822100 is 12281286801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4766907 + ... + 4989693.

It is an arithmetic number, because the mean of its divisors is an integer number (13149838912).

Almost surely, 2^{1086821822100} is an apocalyptic number.

1086821822100 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 1086821822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893576803328).

1086821822100 is an abundant number, since it is smaller than the sum of its proper divisors (2700331784556).

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

1086821822100 is a wasteful number, since it uses less digits than its factorization.

1086821822100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222935 (or 222928 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 1086821822100 in words is "one trillion, eighty-six billion, eight hundred twenty-one million, eight hundred twenty-two thousand, one hundred".