132105820 has 96 divisors (see below), whose sum is σ = 349493760. Its totient is φ = 40746240.

The previous prime is 132105811. The next prime is 132105821. The reversal of 132105820 is 28501231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132105791 and 132105800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167467 + ... + 168253.

It is an arithmetic number, because the mean of its divisors is an integer number (3640560).

Almost surely, 2^132105820 is an apocalyptic number.

132105820 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 132105820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174746880).

132105820 is an abundant number, since it is smaller than the sum of its proper divisors (217387940).

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

132105820 is a wasteful number, since it uses less digits than its factorization.

132105820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 132105820 is about 11493.7295948704. The cubic root of 132105820 is about 509.3003606495.

The spelling of 132105820 in words is "one hundred thirty-two million, one hundred five thousand, eight hundred twenty".