11052350100 has 288 divisors, whose sum is σ = 38978755200. Its totient is φ = 2664345600.

The previous prime is 11052350077. The next prime is 11052350117. The reversal of 11052350100 is 105325011.

11052350100 is a `hidden beast` number, since 110 + 52 + 3 + 501 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5849956 + ... + 5851844.

It is an arithmetic number, because the mean of its divisors is an integer number (135342900).

Almost surely, 2^11052350100 is an apocalyptic number.

11052350100 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 11052350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489377600).

11052350100 is an abundant number, since it is smaller than the sum of its proper divisors (27926405100).

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

11052350100 is a wasteful number, since it uses less digits than its factorization.

11052350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 11052350100 its reverse (105325011), we get a palindrome (11157675111).

The spelling of 11052350100 in words is "eleven billion, fifty-two million, three hundred fifty thousand, one hundred".