105964012 has 24 divisors (see below), whose sum is σ = 231194880. Its totient is φ = 41284560.

The previous prime is 105964003. The next prime is 105964039. The reversal of 105964012 is 210469501.

It is a super-2 number, since 2×105964012² = 22456743678272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171712 + ... + 172327.

It is an arithmetic number, because the mean of its divisors is an integer number (9633120).

Almost surely, 2^105964012 is an apocalyptic number.

It is an amenable number.

105964012 is an abundant number, since it is smaller than the sum of its proper divisors (125230868).

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

105964012 is a wasteful number, since it uses less digits than its factorization.

105964012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344061 (or 344059 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105964012 is about 10293.8822608382. The cubic root of 105964012 is about 473.2087840432.

The spelling of 105964012 in words is "one hundred five million, nine hundred sixty-four thousand, twelve".