105304553422332 has 48 divisors (see below), whose sum is σ = 268051095846912. Its totient is φ = 31910096724480.

The previous prime is 105304553422319. The next prime is 105304553422339. The reversal of 105304553422332 is 233224355403501.

It is a super-2 number, since 2×105304553422332² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105304553422339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6734853 + ... + 15998979.

It is an arithmetic number, because the mean of its divisors is an integer number (5584397830144).

Almost surely, 2^{105304553422332} is an apocalyptic number.

105304553422332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105304553422332 is an abundant number, since it is smaller than the sum of its proper divisors (162746542424580).

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

105304553422332 is a wasteful number, since it uses less digits than its factorization.

105304553422332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350258 (or 9350256 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 105304553422332 in words is "one hundred five trillion, three hundred four billion, five hundred fifty-three million, four hundred twenty-two thousand, three hundred thirty-two".