132111100 has 72 divisors (see below), whose sum is σ = 316729728. Its totient is φ = 47428800.

The previous prime is 132111079. The next prime is 132111101. The reversal of 132111100 is 1111231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132111101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90577 + ... + 92023.

It is an arithmetic number, because the mean of its divisors is an integer number (4399024).

Almost surely, 2^132111100 is an apocalyptic number.

132111100 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 132111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158364864).

132111100 is an abundant number, since it is smaller than the sum of its proper divisors (184618628).

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

132111100 is a wasteful number, since it uses less digits than its factorization.

132111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 132111100 is about 11493.9592830321. The cubic root of 132111100 is about 509.3071457911.

Adding to 132111100 its reverse (1111231), we get a palindrome (133222331).

It can be divided in two parts, 1321 and 11100, that added together give a palindrome (12421).

The spelling of 132111100 in words is "one hundred thirty-two million, one hundred eleven thousand, one hundred".