105810896 has 20 divisors (see below), whose sum is σ = 208878372. Its totient is φ = 51906816.

The previous prime is 105810893. The next prime is 105810979. The reversal of 105810896 is 698018501.

It can be written as a sum of positive squares in 2 ways, for example, as 72863296 + 32947600 = 8536^2 + 5740^2 .

It is a super-2 number, since 2×105810896² = 22391891424645632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105810893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61541 + ... + 63236.

Almost surely, 2^105810896 is an apocalyptic number.

105810896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105810896 is a deficient number, since it is larger than the sum of its proper divisors (103067476).

105810896 is a wasteful number, since it uses less digits than its factorization.

105810896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124838 (or 124832 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 105810896 is about 10286.4423393125. The cubic root of 105810896 is about 472.9807482476.

The spelling of 105810896 in words is "one hundred five million, eight hundred ten thousand, eight hundred ninety-six".