105270918480 has 480 divisors, whose sum is σ = 449164584960. Its totient is φ = 21494108160.

The previous prime is 105270918479. The next prime is 105270918481. The reversal of 105270918480 is 84819072501.

105270918480 is a `hidden beast` number, since 10 + 5 + 2 + 70 + 91 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (105270918479) and next prime (105270918481).

It is a super-2 number, since 2×105270918480² (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 not an unprimeable number, because it can be changed into a prime (105270918481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2005206 + ... + 2057034.

It is an arithmetic number, because the mean of its divisors is an integer number (935759552).

Almost surely, 2^105270918480 is an apocalyptic number.

105270918480 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 105270918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224582292480).

105270918480 is an abundant number, since it is smaller than the sum of its proper divisors (343893666480).

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

105270918480 is a wasteful number, since it uses less digits than its factorization.

105270918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51899 (or 51890 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 105270918480 in words is "one hundred five billion, two hundred seventy million, nine hundred eighteen thousand, four hundred eighty".