105883480 has 64 divisors (see below), whose sum is σ = 257696640. Its totient is φ = 39002112.

The previous prime is 105883471. The next prime is 105883483. The reversal of 105883480 is 84388501.

It is a super-2 number, since 2×105883480² = 22422622673820800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105883483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30304 + ... + 33616.

It is an arithmetic number, because the mean of its divisors is an integer number (4026510).

Almost surely, 2^105883480 is an apocalyptic number.

105883480 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 105883480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848320).

105883480 is an abundant number, since it is smaller than the sum of its proper divisors (151813160).

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

105883480 is a wasteful number, since it uses less digits than its factorization.

105883480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 105883480 is about 10289.9698736197. The cubic root of 105883480 is about 473.0888750690.

The spelling of 105883480 in words is "one hundred five million, eight hundred eighty-three thousand, four hundred eighty".