105885555480 has 320 divisors, whose sum is σ = 368091060480. Its totient is φ = 27300395520.

The previous prime is 105885555463. The next prime is 105885555481. The reversal of 105885555480 is 84555588501.

105885555480 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 5 + 5 + 554 + 80 = 666.

It is a super-2 number, since 2×105885555480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105885555481) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 96522292 + ... + 96523388.

It is an arithmetic number, because the mean of its divisors is an integer number (1150284564).

Almost surely, 2^105885555480 is an apocalyptic number.

105885555480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105885555480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184045530240).

105885555480 is an abundant number, since it is smaller than the sum of its proper divisors (262205505000).

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

105885555480 is an equidigital number, since it uses as much as digits as its factorization.

105885555480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 6400000, while the sum is 54.

The spelling of 105885555480 in words is "one hundred five billion, eight hundred eighty-five million, five hundred fifty-five thousand, four hundred eighty".