105585400 has 48 divisors (see below), whose sum is σ = 247964040. Its totient is φ = 41808000.

The previous prime is 105585377. The next prime is 105585401. The reversal of 105585400 is 4585501.

It is a super-2 number, since 2×105585400² = 22296553386320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105585401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17587 + ... + 22813.

Almost surely, 2^105585400 is an apocalyptic number.

105585400 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 105585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123982020).

105585400 is an abundant number, since it is smaller than the sum of its proper divisors (142378640).

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

105585400 is a wasteful number, since it uses less digits than its factorization.

105585400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 105585400 is about 10275.4756580900. The cubic root of 105585400 is about 472.6445159508.

The spelling of 105585400 in words is "one hundred five million, five hundred eighty-five thousand, four hundred".