105930800 has 30 divisors (see below), whose sum is σ = 254499708. Its totient is φ = 42372160.

The previous prime is 105930787. The next prime is 105930857. The reversal of 105930800 is 8039501.

It is a super-2 number, since 2×105930800² = 22442668777280000, 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 105930800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132014 + ... + 132813.

Almost surely, 2^105930800 is an apocalyptic number.

105930800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105930800 is an abundant number, since it is smaller than the sum of its proper divisors (148568908).

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

105930800 is a wasteful number, since it uses less digits than its factorization.

105930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264845 (or 264834 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105930800 is about 10292.2689432408. The cubic root of 105930800 is about 473.1593400477.

The spelling of 105930800 in words is "one hundred five million, nine hundred thirty thousand, eight hundred".