105955764 has 24 divisors (see below), whose sum is σ = 261773568. Its totient is φ = 33240960.

The previous prime is 105955757. The next prime is 105955769. The reversal of 105955764 is 467559501.

It is a super-2 number, since 2×105955764² = 22453247849647392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105955769) 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 7 ways as a sum of consecutive naturals, for example, 259492 + ... + 259899.

It is an arithmetic number, because the mean of its divisors is an integer number (10907232).

Almost surely, 2^105955764 is an apocalyptic number.

It is an amenable number.

105955764 is an abundant number, since it is smaller than the sum of its proper divisors (155817804).

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

105955764 is a wasteful number, since it uses less digits than its factorization.

105955764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519415 (or 519413 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 105955764 is about 10293.4816267384. The cubic root of 105955764 is about 473.1965058893.

The spelling of 105955764 in words is "one hundred five million, nine hundred fifty-five thousand, seven hundred sixty-four".