105620480 has 132 divisors (see below), whose sum is σ = 295431228. Its totient is φ = 36126720.

The previous prime is 105620461. The next prime is 105620491. The reversal of 105620480 is 84026501.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 92775424 = 3584^2 + 9632^2 .

It is a super-2 number, since 2×105620480² = 22311371590860800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250670 + ... + 251090.

Almost surely, 2^105620480 is an apocalyptic number.

105620480 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 105620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147715614).

105620480 is an abundant number, since it is smaller than the sum of its proper divisors (189810748).

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

105620480 is an equidigital number, since it uses as much as digits as its factorization.

105620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105620480 is about 10277.1824932712. The cubic root of 105620480 is about 472.6968544171.

Adding to 105620480 its reverse (84026501), we get a palindrome (189646981).

The spelling of 105620480 in words is "one hundred five million, six hundred twenty thousand, four hundred eighty".