11166134100 has 216 divisors, whose sum is σ = 35783022240. Its totient is φ = 2686252800.

The previous prime is 11166134099. The next prime is 11166134101. The reversal of 11166134100 is 143166111.

It is an interprime number because it is at equal distance from previous prime (11166134099) and next prime (11166134101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166134101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5044594 + ... + 5046806.

It is an arithmetic number, because the mean of its divisors is an integer number (165662140).

Almost surely, 2^11166134100 is an apocalyptic number.

11166134100 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 11166134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891511120).

11166134100 is an abundant number, since it is smaller than the sum of its proper divisors (24616888140).

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

11166134100 is a wasteful number, since it uses less digits than its factorization.

11166134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 11166134100 in words is "eleven billion, one hundred sixty-six million, one hundred thirty-four thousand, one hundred".