105904386 has 72 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 30035376.

The previous prime is 105904369. The next prime is 105904387. The reversal of 105904386 is 683409501.

It is a super-2 number, since 2×105904386² = 22431477948073992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105904386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105904387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146935 + ... + 147653.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^105904386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105904386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

105904386 is an abundant number, since it is smaller than the sum of its proper divisors (162989694).

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

105904386 is a wasteful number, since it uses less digits than its factorization.

105904386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105904386 is about 10290.9856670778. The cubic root of 105904386 is about 473.1200091205.

The spelling of 105904386 in words is "one hundred five million, nine hundred four thousand, three hundred eighty-six".