105475860720 has 320 divisors, whose sum is σ = 379674746880. Its totient is φ = 27218177280.

The previous prime is 105475860697. The next prime is 105475860739. The reversal of 105475860720 is 27068574501.

105475860720 is a `hidden beast` number, since 1 + 0 + 5 + 47 + 586 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×105475860720² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5414037 + ... + 5433483.

It is an arithmetic number, because the mean of its divisors is an integer number (1186483584).

Almost surely, 2^105475860720 is an apocalyptic number.

105475860720 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 105475860720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189837373440).

105475860720 is an abundant number, since it is smaller than the sum of its proper divisors (274198886160).

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

105475860720 is an equidigital number, since it uses as much as digits as its factorization.

105475860720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19488 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 105475860720 in words is "one hundred five billion, four hundred seventy-five million, eight hundred sixty thousand, seven hundred twenty".