105473319840 has 288 divisors, whose sum is σ = 432996520320. Its totient is φ = 22839293952.

The previous prime is 105473319811. The next prime is 105473319869. The reversal of 105473319840 is 48913374501.

105473319840 is a `hidden beast` number, since 10 + 547 + 3 + 3 + 1 + 98 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105473319811) and next prime (105473319869).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105473319840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83839 + ... + 466878.

It is an arithmetic number, because the mean of its divisors is an integer number (1503460140).

Almost surely, 2^105473319840 is an apocalyptic number.

105473319840 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 105473319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216498260160).

105473319840 is an abundant number, since it is smaller than the sum of its proper divisors (327523200480).

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

105473319840 is a wasteful number, since it uses less digits than its factorization.

105473319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550764 (or 550753 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105473319840 in words is "one hundred five billion, four hundred seventy-three million, three hundred nineteen thousand, eight hundred forty".