11102023296 has 720 divisors, whose sum is σ = 42424205670. Its totient is φ = 2856591360.

The previous prime is 11102023291. The next prime is 11102023307. The reversal of 11102023296 is 69232020111.

11102023296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1835265600 + 9266757696 = 42840^2 + 96264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11102023291) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 270781036 + ... + 270781076.

Almost surely, 2^11102023296 is an apocalyptic number.

11102023296 is a gapful number since it is divisible by the number (16) 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 11102023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212102835).

11102023296 is an abundant number, since it is smaller than the sum of its proper divisors (31322182374).

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

11102023296 is an equidigital number, since it uses as much as digits as its factorization.

11102023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11102023296 in words is "eleven billion, one hundred two million, twenty-three thousand, two hundred ninety-six".