105817332 has 24 divisors (see below), whose sum is σ = 247195872. Its totient is φ = 35231200.

The previous prime is 105817331. The next prime is 105817339. The reversal of 105817332 is 233718501.

It is a super-2 number, since 2×105817332² = 22394615503196448, 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 105817332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105817331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6607 + ... + 15977.

It is an arithmetic number, because the mean of its divisors is an integer number (10299828).

Almost surely, 2^105817332 is an apocalyptic number.

105817332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105817332 is an abundant number, since it is smaller than the sum of its proper divisors (141378540).

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

105817332 is a wasteful number, since it uses less digits than its factorization.

105817332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105817332 is about 10286.7551735229. The cubic root of 105817332 is about 472.9903378157.

The spelling of 105817332 in words is "one hundred five million, eight hundred seventeen thousand, three hundred thirty-two".