105542330320 has 80 divisors (see below), whose sum is σ = 283592206080. Its totient is φ = 35779341312.

The previous prime is 105542330297. The next prime is 105542330323. The reversal of 105542330320 is 23033245501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105542330320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105542330323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008972 + ... + 1108651.

It is an arithmetic number, because the mean of its divisors is an integer number (3544902576).

Almost surely, 2^105542330320 is an apocalyptic number.

105542330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105542330320 is an abundant number, since it is smaller than the sum of its proper divisors (178049875760).

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

105542330320 is a wasteful number, since it uses less digits than its factorization.

105542330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117732 (or 2117726 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 105542330320 its reverse (23033245501), we get a palindrome (128575575821).

The spelling of 105542330320 in words is "one hundred five billion, five hundred forty-two million, three hundred thirty thousand, three hundred twenty".