105066800 has 60 divisors (see below), whose sum is σ = 267288696. Its totient is φ = 39552000.

The previous prime is 105066769. The next prime is 105066821. The reversal of 105066800 is 8660501.

It is a super-2 number, since 2×105066800² = 22078064924480000, 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 105066800.

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, 926 + ... + 14525.

Almost surely, 2^105066800 is an apocalyptic number.

105066800 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 105066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133644348).

105066800 is an abundant number, since it is smaller than the sum of its proper divisors (162221896).

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

105066800 is a wasteful number, since it uses less digits than its factorization.

105066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15486 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105066800 is about 10250.2097539514. The cubic root of 105066800 is about 471.8694218892.

The spelling of 105066800 in words is "one hundred five million, sixty-six thousand, eight hundred".