105384300 has 216 divisors, whose sum is σ = 363351744. Its totient is φ = 23506560.

The previous prime is 105384263. The next prime is 105384313. The reversal of 105384300 is 3483501.

It is a super-2 number, since 2×105384300² = 22211701372980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 984847 + ... + 984953.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2^105384300 is an apocalyptic number.

105384300 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 105384300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

105384300 is an abundant number, since it is smaller than the sum of its proper divisors (257967444).

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

105384300 is a wasteful number, since it uses less digits than its factorization.

105384300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105384300 is about 10265.6855591821. The cubic root of 105384300 is about 472.3442559400.

The spelling of 105384300 in words is "one hundred five million, three hundred eighty-four thousand, three hundred".