105189408 has 96 divisors (see below), whose sum is σ = 308790720. Its totient is φ = 34836480.

The previous prime is 105189347. The next prime is 105189451. The reversal of 105189408 is 804981501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105189408² = 22129623110780928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182016 + ... + 182592.

It is an arithmetic number, because the mean of its divisors is an integer number (3216570).

Almost surely, 2^105189408 is an apocalyptic number.

105189408 is a gapful number since it is divisible by the number (18) 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 105189408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154395360).

105189408 is an abundant number, since it is smaller than the sum of its proper divisors (203601312).

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

105189408 is a wasteful number, since it uses less digits than its factorization.

105189408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105189408 is about 10256.1887658135. The cubic root of 105189408 is about 472.0529003239.

The spelling of 105189408 in words is "one hundred five million, one hundred eighty-nine thousand, four hundred eight".