105343027920 has 120 divisors (see below), whose sum is σ = 380990651496. Its totient is φ = 25930589184.

The previous prime is 105343027919. The next prime is 105343027939. The reversal of 105343027920 is 29720343501.

105343027920 is a `hidden beast` number, since 1 + 0 + 534 + 30 + 2 + 7 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685601856 + 104657426064 = 26184^2 + 323508^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105343027920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617939 + ... + 5636658.

Almost surely, 2^105343027920 is an apocalyptic number.

105343027920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343027920 is an abundant number, since it is smaller than the sum of its proper divisors (275647623576).

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

105343027920 is a wasteful number, since it uses less digits than its factorization.

105343027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11254629 (or 11254620 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 105343027920 in words is "one hundred five billion, three hundred forty-three million, twenty-seven thousand, nine hundred twenty".