105982965 has 128 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 47013120.

The previous prime is 105982963. The next prime is 105982997. The reversal of 105982965 is 569289501.

It is not a de Polignac number, because 105982965 - 2¹ = 105982963 is a prime.

It is a super-2 number, since 2×105982965² = 22464777740382450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105982965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105982963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 990442 + ... + 990548.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^105982965 is an apocalyptic number.

105982965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105982965 is an abundant number, since it is smaller than the sum of its proper divisors (117965835).

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

105982965 is a wasteful number, since it uses less digits than its factorization.

105982965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 105982965 is about 10294.8028150130. The cubic root of 105982965 is about 473.2369954810.

The spelling of 105982965 in words is "one hundred five million, nine hundred eighty-two thousand, nine hundred sixty-five".