105995904 has 128 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 29604864.

The previous prime is 105995831. The next prime is 105995909. The reversal of 105995904 is 409599501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105995904² = 22470263329554432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105995909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125917 + ... + 126755.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^105995904 is an apocalyptic number.

105995904 is a gapful number since it is divisible by the number (14) 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 105995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

105995904 is an abundant number, since it is smaller than the sum of its proper divisors (223015296).

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

105995904 is an equidigital number, since it uses as much as digits as its factorization.

105995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 105995904 is about 10295.4312197207. The cubic root of 105995904 is about 473.2562531806.

The spelling of 105995904 in words is "one hundred five million, nine hundred ninety-five thousand, nine hundred four".