105454400 has 84 divisors (see below), whose sum is σ = 274818348. Its totient is φ = 39690240.

The previous prime is 105454397. The next prime is 105454429. The reversal of 105454400 is 4454501.

It can be written as a sum of positive squares in 6 ways, for example, as 1577536 + 103876864 = 1256^2 + 10192^2 .

It is a super-2 number, since 2×105454400² = 22241260958720000, which contains 22 as substring.

It is a congruent number.

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, 25262 + ... + 29138.

It is an arithmetic number, because the mean of its divisors is an integer number (3271647).

Almost surely, 2^105454400 is an apocalyptic number.

105454400 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 105454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137409174).

105454400 is an abundant number, since it is smaller than the sum of its proper divisors (169363948).

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

105454400 is a wasteful number, since it uses less digits than its factorization.

105454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105454400 is about 10269.0992789046. The cubic root of 105454400 is about 472.4489647481.

The spelling of 105454400 in words is "one hundred five million, four hundred fifty-four thousand, four hundred".