105468400 has 120 divisors (see below), whose sum is σ = 266389200. Its totient is φ = 40089600.

The previous prime is 105468383. The next prime is 105468401. The reversal of 105468400 is 4864501.

It is a super-2 number, since 2×105468400² = 22247166797120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105468401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967546 + ... + 967654.

It is an arithmetic number, because the mean of its divisors is an integer number (2219910).

Almost surely, 2^105468400 is an apocalyptic number.

105468400 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 105468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133194600).

105468400 is an abundant number, since it is smaller than the sum of its proper divisors (160920800).

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

105468400 is a wasteful number, since it uses less digits than its factorization.

105468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 105468400 is about 10269.7809129504. The cubic root of 105468400 is about 472.4698710761.

The spelling of 105468400 in words is "one hundred five million, four hundred sixty-eight thousand, four hundred".