105903776 has 96 divisors (see below), whose sum is σ = 241532928. Its totient is φ = 45239040.

The previous prime is 105903773. The next prime is 105903793. The reversal of 105903776 is 677309501.

It is a super-2 number, since 2×105903776² = 22431219542116352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105903773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833825 + ... + 833951.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 2^105903776 is an apocalyptic number.

105903776 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 105903776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

105903776 is an abundant number, since it is smaller than the sum of its proper divisors (135629152).

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

105903776 is a wasteful number, since it uses less digits than its factorization.

105903776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 105903776 is about 10290.9560294464. The cubic root of 105903776 is about 473.1191007421.

The spelling of 105903776 in words is "one hundred five million, nine hundred three thousand, seven hundred seventy-six".