105318400 has 216 divisors, whose sum is σ = 303906330. Its totient is φ = 36044800.

The previous prime is 105318397. The next prime is 105318407. The reversal of 105318400 is 4813501.

It can be written as a sum of positive squares in 3 ways, for example, as 90326016 + 14992384 = 9504^2 + 3872^2 .

It is a super-2 number, since 2×105318400² = 22183930757120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105318407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6195192 + ... + 6195208.

Almost surely, 2^105318400 is an apocalyptic number.

105318400 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 105318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151953165).

105318400 is an abundant number, since it is smaller than the sum of its proper divisors (198587930).

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

105318400 is a wasteful number, since it uses less digits than its factorization.

105318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105318400 is about 10262.4753349277. The cubic root of 105318400 is about 472.2457783456.

The spelling of 105318400 in words is "one hundred five million, three hundred eighteen thousand, four hundred".