105292386 has 56 divisors (see below), whose sum is σ = 238566924. Its totient is φ = 34836480.

The previous prime is 105292351. The next prime is 105292393. The reversal of 105292386 is 683292501.

It can be written as a sum of positive squares in 2 ways, for example, as 87778161 + 17514225 = 9369^2 + 4185^2 .

It is a super-2 number, since 2×105292386² = 22172973099145992, 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 105292386.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 374566 + ... + 374846.

Almost surely, 2^105292386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105292386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119283462).

105292386 is an abundant number, since it is smaller than the sum of its proper divisors (133274538).

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

105292386 is an equidigital number, since it uses as much as digits as its factorization.

105292386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

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

The square root of 105292386 is about 10261.2078236434. The cubic root of 105292386 is about 472.2068930439.

The spelling of 105292386 in words is "one hundred five million, two hundred ninety-two thousand, three hundred eighty-six".