132105205223310 has 64 divisors (see below), whose sum is σ = 357032718895104. Its totient is φ = 30992423510400.

The previous prime is 132105205223263. The next prime is 132105205223443. The reversal of 132105205223310 is 13322502501231.

It is a super-2 number, since 2×132105205223310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6456744669 + ... + 6456765128.

It is an arithmetic number, because the mean of its divisors is an integer number (5578636232736).

Almost surely, 2^{132105205223310} is an apocalyptic number.

132105205223310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132105205223310 is an abundant number, since it is smaller than the sum of its proper divisors (224927513671794).

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

132105205223310 is a wasteful number, since it uses less digits than its factorization.

132105205223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913509849.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 132105205223310 its reverse (13322502501231), we get a palindrome (145427707724541).

The spelling of 132105205223310 in words is "one hundred thirty-two trillion, one hundred five billion, two hundred five million, two hundred twenty-three thousand, three hundred ten".