11053415100 has 288 divisors, whose sum is σ = 40169651200. Its totient is φ = 2331866880.

The previous prime is 11053415081. The next prime is 11053415119. The reversal of 11053415100 is 151435011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11053415081) and next prime (11053415119).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1333569 + ... + 1341831.

Almost surely, 2^11053415100 is an apocalyptic number.

11053415100 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 11053415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084825600).

11053415100 is an abundant number, since it is smaller than the sum of its proper divisors (29116236100).

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

11053415100 is a wasteful number, since it uses less digits than its factorization.

11053415100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 11053415100 in words is "eleven billion, fifty-three million, four hundred fifteen thousand, one hundred".