966963105 has 24 divisors (see below), whose sum is σ = 1764285120. Its totient is φ = 488570400.

The previous prime is 966963103. The next prime is 966963113. The reversal of 966963105 is 501369669.

966963105 is a `hidden beast` number, since 9 + 6 + 6 + 9 + 631 + 0 + 5 = 666.

It is not a de Polignac number, because 966963105 - 2¹ = 966963103 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (966963103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564621 + ... + 566330.

It is an arithmetic number, because the mean of its divisors is an integer number (73511880).

Almost surely, 2^966963105 is an apocalyptic number.

966963105 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

966963105 is a deficient number, since it is larger than the sum of its proper divisors (797322015).

966963105 is a wasteful number, since it uses less digits than its factorization.

966963105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130981 (or 1130978 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 966963105 is about 31096.0303736667. The cubic root of 966963105 is about 988.8641549290.

The spelling of 966963105 in words is "nine hundred sixty-six million, nine hundred sixty-three thousand, one hundred five".