105339204 has 60 divisors (see below), whose sum is σ = 277477200. Its totient is φ = 34845552.

The previous prime is 105339203. The next prime is 105339217. The reversal of 105339204 is 402933501.

It is a super-2 number, since 2×105339204² = 22192695798707232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105339203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43867 + ... + 46205.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2^105339204 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 105339204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138738600).

105339204 is an abundant number, since it is smaller than the sum of its proper divisors (172137996).

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

105339204 is a wasteful number, since it uses less digits than its factorization.

105339204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105339204 is about 10263.4888804928. The cubic root of 105339204 is about 472.2768712168.

The spelling of 105339204 in words is "one hundred five million, three hundred thirty-nine thousand, two hundred four".