105490560 has 256 divisors, whose sum is σ = 394813440. Its totient is φ = 23457792.

The previous prime is 105490547. The next prime is 105490573. The reversal of 105490560 is 65094501.

It is an interprime number because it is at equal distance from previous prime (105490547) and next prime (105490573).

It is a super-2 number, since 2×105490560² = 22256516498227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631597 + ... + 631763.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^105490560 is an apocalyptic number.

105490560 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 105490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

105490560 is an abundant number, since it is smaller than the sum of its proper divisors (289322880).

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

105490560 is a wasteful number, since it uses less digits than its factorization.

105490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105490560 is about 10270.8597497970. The cubic root of 105490560 is about 472.5029590252.

The spelling of 105490560 in words is "one hundred five million, four hundred ninety thousand, five hundred sixty".