105482790 has 256 divisors, whose sum is σ = 352512000. Its totient is φ = 22353408.

The previous prime is 105482779. The next prime is 105482809. The reversal of 105482790 is 97284501.

105482790 is a `hidden beast` number, since 1 + 0 + 548 + 27 + 90 = 666.

It is a super-2 number, since 2×105482790² = 22253237972368200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1574337 + ... + 1574403.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^105482790 is an apocalyptic number.

105482790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105482790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

105482790 is an abundant number, since it is smaller than the sum of its proper divisors (247029210).

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

105482790 is a wasteful number, since it uses less digits than its factorization.

105482790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105482790 is about 10270.4814882263. The cubic root of 105482790 is about 472.4913578666.

The spelling of 105482790 in words is "one hundred five million, four hundred eighty-two thousand, seven hundred ninety".