105476800 has 168 divisors, whose sum is σ = 305574192. Its totient is φ = 35328000.

The previous prime is 105476773. The next prime is 105476831. The reversal of 105476800 is 8674501.

It is a super-2 number, since 2×105476800² = 22250710676480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228570 + ... + 229030.

It is an arithmetic number, because the mean of its divisors is an integer number (1818894).

Almost surely, 2^105476800 is an apocalyptic number.

105476800 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 105476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152787096).

105476800 is an abundant number, since it is smaller than the sum of its proper divisors (200097392).

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

105476800 is a wasteful number, since it uses less digits than its factorization.

105476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105476800 is about 10270.1898716625. The cubic root of 105476800 is about 472.4824139849.

It can be divided in two parts, 105476 and 800, that added together give a square (106276 = 326²).

The spelling of 105476800 in words is "one hundred five million, four hundred seventy-six thousand, eight hundred".