105395904 has 126 divisors (see below), whose sum is σ = 314951364. Its totient is φ = 34992000.

The previous prime is 105395839. The next prime is 105395921. The reversal of 105395904 is 409593501.

105395904 is a `hidden beast` number, since 10 + 53 + 9 + 590 + 4 = 666.

It is a super-2 number, since 2×105395904² = 22216593159954432, 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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419779 + ... + 420029.

It is an arithmetic number, because the mean of its divisors is an integer number (2499614).

Almost surely, 2^105395904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157475682).

105395904 is an abundant number, since it is smaller than the sum of its proper divisors (209555460).

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

105395904 is an frugal number, since it uses more digits than its factorization.

105395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105395904 is about 10266.2507275051. The cubic root of 105395904 is about 472.3615921136.

The spelling of 105395904 in words is "one hundred five million, three hundred ninety-five thousand, nine hundred four".