105289800 has 384 divisors, whose sum is σ = 424258560. Its totient is φ = 20966400.

The previous prime is 105289771. The next prime is 105289801. The reversal of 105289800 is 8982501.

It is a happy number.

It is a super-2 number, since 2×105289800² = 22171883968080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105289801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1986574 + ... + 1986626.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^105289800 is an apocalyptic number.

105289800 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 105289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

105289800 is an abundant number, since it is smaller than the sum of its proper divisors (318968760).

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

105289800 is a wasteful number, since it uses less digits than its factorization.

105289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 105289800 is about 10261.0818143118. The cubic root of 105289800 is about 472.2030271834.

The spelling of 105289800 in words is "one hundred five million, two hundred eighty-nine thousand, eight hundred".