105408000 has 320 divisors, whose sum is σ = 395778240. Its totient is φ = 27648000.

The previous prime is 105407999. The next prime is 105408001. The reversal of 105408000 is 804501.

It is an interprime number because it is at equal distance from previous prime (105407999) and next prime (105408001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105408000² = 22221692928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105408001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727970 + ... + 1728030.

It is an arithmetic number, because the mean of its divisors is an integer number (1236807).

Almost surely, 2^105408000 is an apocalyptic number.

105408000 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 105408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

105408000 is an abundant number, since it is smaller than the sum of its proper divisors (290370240).

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

105408000 is an frugal number, since it uses more digits than its factorization.

105408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105408000 is about 10266.8398253796. The cubic root of 105408000 is about 472.3796619723.

The spelling of 105408000 in words is "one hundred five million, four hundred eight thousand".