105998400 has 252 divisors, whose sum is σ = 399825972. Its totient is φ = 26542080.

The previous prime is 105998381. The next prime is 105998401. The reversal of 105998400 is 4899501.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 101123136 = 2208^2 + 10056^2 .

It is a super-2 number, since 2×105998400² = 22471321605120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105998401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244584 + ... + 245016.

It is an arithmetic number, because the mean of its divisors is an integer number (1586611).

Almost surely, 2^105998400 is an apocalyptic number.

105998400 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 105998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199912986).

105998400 is an abundant number, since it is smaller than the sum of its proper divisors (293827572).

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

105998400 is a wasteful number, since it uses less digits than its factorization.

105998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 105998400 is about 10295.5524378248. The cubic root of 105998400 is about 473.2599679101.

The spelling of 105998400 in words is "one hundred five million, nine hundred ninety-eight thousand, four hundred".