105400 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 38400.

The previous prime is 105397. The next prime is 105401. The reversal of 105400 is 4501.

105400 = 6³ + 7³ + ... + 25³.

It is a super-2 number, since 2×105400² = 22218320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401) 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, 3385 + ... + 3415.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2¹⁰⁵⁴⁰⁰ is an apocalyptic number.

105400 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 105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

105400 is an abundant number, since it is smaller than the sum of its proper divisors (162440).

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

105400 is a wasteful number, since it uses less digits than its factorization.

105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 105400 is about 324.6536616150. The cubic root of 105400 is about 47.2367711162.

Adding to 105400 its reverse (4501), we get a palindrome (109901).

It can be divided in two parts, 105 and 400, that added together give a palindrome (505).

The spelling of 105400 in words is "one hundred five thousand, four hundred".