11581923100 has 144 divisors (see below), whose sum is σ = 28961896320. Its totient is φ = 3975955200.

The previous prime is 11581922983. The next prime is 11581923139. The reversal of 11581923100 is 132918511.

11581923100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11581923100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7251502 + ... + 7253098.

It is an arithmetic number, because the mean of its divisors is an integer number (201124280).

Almost surely, 2^11581923100 is an apocalyptic number.

11581923100 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 11581923100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480948160).

11581923100 is an abundant number, since it is smaller than the sum of its proper divisors (17379973220).

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

11581923100 is a wasteful number, since it uses less digits than its factorization.

11581923100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The spelling of 11581923100 in words is "eleven billion, five hundred eighty-one million, nine hundred twenty-three thousand, one hundred".