105409080 has 256 divisors, whose sum is σ = 409190400. Its totient is φ = 23639040.

The previous prime is 105409079. The next prime is 105409091. The reversal of 105409080 is 80904501.

It is a super-2 number, since 2×105409080² = 22222148292892800, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 551785 + ... + 551975.

It is an arithmetic number, because the mean of its divisors is an integer number (1598400).

Almost surely, 2^105409080 is an apocalyptic number.

105409080 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 105409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204595200).

105409080 is an abundant number, since it is smaller than the sum of its proper divisors (303781320).

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

105409080 is a wasteful number, since it uses less digits than its factorization.

105409080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

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

The square root of 105409080 is about 10266.8924217603. The cubic root of 105409080 is about 472.3812752853.

The spelling of 105409080 in words is "one hundred five million, four hundred nine thousand, eighty".