11327150100 has 144 divisors (see below), whose sum is σ = 37544624768. Its totient is φ = 2582876160.

The previous prime is 11327150083. The next prime is 11327150117. The reversal of 11327150100 is 105172311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11327150083) and next prime (11327150117).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903072 + ... + 915528.

Almost surely, 2^11327150100 is an apocalyptic number.

11327150100 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 11327150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772312384).

11327150100 is an abundant number, since it is smaller than the sum of its proper divisors (26217474668).

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

11327150100 is a wasteful number, since it uses less digits than its factorization.

11327150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12914 (or 12907 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 11327150100 in words is "eleven billion, three hundred twenty-seven million, one hundred fifty thousand, one hundred".