105090480 has 160 divisors (see below), whose sum is σ = 394974720. Its totient is φ = 25470720.

The previous prime is 105090457. The next prime is 105090487. The reversal of 105090480 is 84090501.

It is a super-2 number, since 2×105090480² = 22088017973260800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105090487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21549 + ... + 25971.

It is an arithmetic number, because the mean of its divisors is an integer number (2468592).

Almost surely, 2^105090480 is an apocalyptic number.

105090480 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 105090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197487360).

105090480 is an abundant number, since it is smaller than the sum of its proper divisors (289884240).

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

105090480 is a wasteful number, since it uses less digits than its factorization.

105090480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4444 counting only the distinct ones).

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

The square root of 105090480 is about 10251.3647871881. The cubic root of 105090480 is about 471.9048692699.

It can be divided in two parts, 105090 and 480, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105090480 in words is "one hundred five million, ninety thousand, four hundred eighty".