105809400 has 144 divisors (see below), whose sum is σ = 367777800. Its totient is φ = 27229440.

The previous prime is 105809399. The next prime is 105809413. The reversal of 105809400 is 4908501.

It is a super-2 number, since 2×105809400² = 22391258256720000, 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 35 ways as a sum of consecutive naturals, for example, 51187 + ... + 53213.

Almost surely, 2^105809400 is an apocalyptic number.

105809400 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 105809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183888900).

105809400 is an abundant number, since it is smaller than the sum of its proper divisors (261968400).

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

105809400 is a wasteful number, since it uses less digits than its factorization.

105809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105809400 is about 10286.3696219803. The cubic root of 105809400 is about 472.9785191686.

The spelling of 105809400 in words is "one hundred five million, eight hundred nine thousand, four hundred".