105284400 has 240 divisors, whose sum is σ = 385537824. Its totient is φ = 24330240.

The previous prime is 105284381. The next prime is 105284411. The reversal of 105284400 is 4482501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105284400² = 22169609766720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265002 + ... + 265398.

Almost surely, 2^105284400 is an apocalyptic number.

105284400 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 105284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192768912).

105284400 is an abundant number, since it is smaller than the sum of its proper divisors (280253424).

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

105284400 is a wasteful number, since it uses less digits than its factorization.

105284400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105284400 is about 10260.8186807876. The cubic root of 105284400 is about 472.1949544168.

The spelling of 105284400 in words is "one hundred five million, two hundred eighty-four thousand, four hundred".