105744804 has 72 divisors (see below), whose sum is σ = 285556320. Its totient is φ = 30349440.

The previous prime is 105744803. The next prime is 105744809. The reversal of 105744804 is 408447501.

105744804 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105744804² = 22363927145996832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

105744804 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (105744803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25672 + ... + 29504.

It is an arithmetic number, because the mean of its divisors is an integer number (3966060).

Almost surely, 2^105744804 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 105744804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142778160).

105744804 is an abundant number, since it is smaller than the sum of its proper divisors (179811516).

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

105744804 is a wasteful number, since it uses less digits than its factorization.

105744804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 105744804 is about 10283.2292593329. The cubic root of 105744804 is about 472.8822493983.

The spelling of 105744804 in words is "one hundred five million, seven hundred forty-four thousand, eight hundred four".