105204960 has 384 divisors, whose sum is σ = 435456000. Its totient is φ = 23708160.

The previous prime is 105204929. The next prime is 105204971. The reversal of 105204960 is 69402501.

It is a super-2 number, since 2×105204960² = 22136167217203200, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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, 1481725 + ... + 1481795.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^105204960 is an apocalyptic number.

105204960 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 105204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

105204960 is an abundant number, since it is smaller than the sum of its proper divisors (330251040).

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

105204960 is an equidigital number, since it uses as much as digits as its factorization.

105204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105204960 is about 10256.9469141651. The cubic root of 105204960 is about 472.0761631380.

The spelling of 105204960 in words is "one hundred five million, two hundred four thousand, nine hundred sixty".