105550400 has 84 divisors (see below), whose sum is σ = 266219940. Its totient is φ = 41164800.

The previous prime is 105550397. The next prime is 105550439. The reversal of 105550400 is 4055501.

It can be written as a sum of positive squares in 6 ways, for example, as 1183744 + 104366656 = 1088^2 + 10216^2 .

It is a super-2 number, since 2×105550400² = 22281773880320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 64796 + ... + 66404.

It is an arithmetic number, because the mean of its divisors is an integer number (3169285).

Almost surely, 2^105550400 is an apocalyptic number.

105550400 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 105550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133109970).

105550400 is an abundant number, since it is smaller than the sum of its proper divisors (160669540).

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

105550400 is a wasteful number, since it uses less digits than its factorization.

105550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 105550400 is about 10273.7724327532. The cubic root of 105550400 is about 472.5922852880.

The spelling of 105550400 in words is "one hundred five million, five hundred fifty thousand, four hundred".