105355403280 has 120 divisors (see below), whose sum is σ = 353889581760. Its totient is φ = 28089135360.

The previous prime is 105355403269. The next prime is 105355403287. The reversal of 105355403280 is 82304553501.

105355403280 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 540 + 32 + 80 = 666.

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

It is a super-2 number, since 2×105355403280² (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 not an unprimeable number, because it can be changed into a prime (105355403287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4566975 + ... + 4589985.

It is an arithmetic number, because the mean of its divisors is an integer number (2949079848).

Almost surely, 2^105355403280 is an apocalyptic number.

105355403280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105355403280 is an abundant number, since it is smaller than the sum of its proper divisors (248534178480).

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

105355403280 is a wasteful number, since it uses less digits than its factorization.

105355403280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29389 (or 29380 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105355403280 its reverse (82304553501), we get a palindrome (187659956781).

The spelling of 105355403280 in words is "one hundred five billion, three hundred fifty-five million, four hundred three thousand, two hundred eighty".