105405924 has 48 divisors (see below), whose sum is σ = 266826560. Its totient is φ = 32192640.

The previous prime is 105405917. The next prime is 105405953. The reversal of 105405924 is 429504501.

It is a super-2 number, since 2×105405924² = 22220817628587552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105405891 and 105405900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19254 + ... + 24114.

Almost surely, 2^105405924 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 105405924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133413280).

105405924 is an abundant number, since it is smaller than the sum of its proper divisors (161420636).

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

105405924 is a wasteful number, since it uses less digits than its factorization.

105405924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105405924 is about 10266.7387226909. The cubic root of 105405924 is about 472.3765607952.

The spelling of 105405924 in words is "one hundred five million, four hundred five thousand, nine hundred twenty-four".