1000965105 has 96 divisors (see below), whose sum is σ = 2024275968. Its totient is φ = 448156800.

The previous prime is 1000965089. The next prime is 1000965109. The reversal of 1000965105 is 5015690001.

1000965105 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 651 + 0 + 5 = 666.

It is not a de Polignac number, because 1000965105 - 2⁴ = 1000965089 is a prime.

It is a super-2 number, since 2×1000965105² = 2003862282855322050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000965109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5240560 + ... + 5240750.

It is an arithmetic number, because the mean of its divisors is an integer number (21086208).

Almost surely, 2^1000965105 is an apocalyptic number.

1000965105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000965105 is an abundant number, since it is smaller than the sum of its proper divisors (1023310863).

1000965105 is a wasteful number, since it uses less digits than its factorization.

1000965105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1000965105 is about 31638.0325715744. The cubic root of 1000965105 is about 1000.3215982302.

The spelling of 1000965105 in words is "one billion, nine hundred sixty-five thousand, one hundred five".