105227182080 has 896 divisors, whose sum is σ = 411907939200. Its totient is φ = 25367150592.

The previous prime is 105227182057. The next prime is 105227182087. The reversal of 105227182080 is 80281722501.

It is a super-2 number, since 2×105227182080² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105227182087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545218464 + ... + 545218656.

Almost surely, 2^105227182080 is an apocalyptic number.

105227182080 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 105227182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205953969600).

105227182080 is an abundant number, since it is smaller than the sum of its proper divisors (306680757120).

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

105227182080 is a wasteful number, since it uses less digits than its factorization.

105227182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 105227182080 in words is "one hundred five billion, two hundred twenty-seven million, one hundred eighty-two thousand, eighty".