105925104 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 35158464.

The previous prime is 105925103. The next prime is 105925123. The reversal of 105925104 is 401529501.

It is a super-2 number, since 2×105925104² = 22440255314821632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105925103) 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, 154747 + ... + 155429.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^105925104 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 105925104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

105925104 is an abundant number, since it is smaller than the sum of its proper divisors (199412496).

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

105925104 is a wasteful number, since it uses less digits than its factorization.

105925104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105925104 is about 10291.9922269695. The cubic root of 105925104 is about 473.1508591529.

The spelling of 105925104 in words is "one hundred five million, nine hundred twenty-five thousand, one hundred four".