105080490 has 96 divisors (see below), whose sum is σ = 287292096. Its totient is φ = 27630720.

The previous prime is 105080473. The next prime is 105080513. The reversal of 105080490 is 94080501.

It is a super-2 number, since 2×105080490² = 22083818757280200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201430 + ... + 201950.

It is an arithmetic number, because the mean of its divisors is an integer number (2992626).

Almost surely, 2^105080490 is an apocalyptic number.

105080490 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 105080490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646048).

105080490 is an abundant number, since it is smaller than the sum of its proper divisors (182211606).

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

105080490 is an equidigital number, since it uses as much as digits as its factorization.

105080490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105080490 is about 10250.8775234123. The cubic root of 105080490 is about 471.8899155556.

It can be divided in two parts, 105080 and 490, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105080490 in words is "one hundred five million, eighty thousand, four hundred ninety".