11205058100 has 144 divisors (see below), whose sum is σ = 26550175680. Its totient is φ = 4090291200.

The previous prime is 11205058087. The next prime is 11205058147. The reversal of 11205058100 is 185050211.

It is a super-2 number, since 2×11205058100² (a number of 21 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 47 ways as a sum of consecutive naturals, for example, 6464834 + ... + 6466566.

It is an arithmetic number, because the mean of its divisors is an integer number (184376220).

Almost surely, 2^11205058100 is an apocalyptic number.

11205058100 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 11205058100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275087840).

11205058100 is an abundant number, since it is smaller than the sum of its proper divisors (15345117580).

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

11205058100 is a wasteful number, since it uses less digits than its factorization.

11205058100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

The spelling of 11205058100 in words is "eleven billion, two hundred five million, fifty-eight thousand, one hundred".