105892096 has 36 divisors (see below), whose sum is σ = 214867324. Its totient is φ = 52070400.

The previous prime is 105892043. The next prime is 105892097. The reversal of 105892096 is 690298501.

It can be written as a sum of positive squares in 2 ways, for example, as 20070400 + 85821696 = 4480^2 + 9264^2 .

It is a super-2 number, since 2×105892096² = 22426271990546432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105892097) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12226 + ... + 19006.

Almost surely, 2^105892096 is an apocalyptic number.

105892096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107433662).

105892096 is an abundant number, since it is smaller than the sum of its proper divisors (108975228).

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

105892096 is an frugal number, since it uses more digits than its factorization.

105892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 105892096 is about 10290.3885252210. The cubic root of 105892096 is about 473.1017068573.

The spelling of 105892096 in words is "one hundred five million, eight hundred ninety-two thousand, ninety-six".