105921800 has 48 divisors (see below), whose sum is σ = 247433940. Its totient is φ = 42168320.

The previous prime is 105921797. The next prime is 105921811. The reversal of 105921800 is 8129501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 44863204 + 61058596 = 6698^2 + 7814^2 .

It is a super-2 number, since 2×105921800² = 22438855430480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105921800.

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, 45464 + ... + 47736.

Almost surely, 2^105921800 is an apocalyptic number.

105921800 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 105921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123716970).

105921800 is an abundant number, since it is smaller than the sum of its proper divisors (141512140).

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

105921800 is a wasteful number, since it uses less digits than its factorization.

105921800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 105921800 is about 10291.8317125767. The cubic root of 105921800 is about 473.1459396182.

The spelling of 105921800 in words is "one hundred five million, nine hundred twenty-one thousand, eight hundred".