105964242 has 8 divisors (see below), whose sum is σ = 211928496. Its totient is φ = 35321412.

The previous prime is 105964223. The next prime is 105964279. The reversal of 105964242 is 242469501.

It is a sphenic number, since it is the product of 3 distinct primes.

105964242 is an admirable number.

It is a super-2 number, since 2×105964242² = 22456841165269128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8830348 + ... + 8830359.

It is an arithmetic number, because the mean of its divisors is an integer number (26491062).

Almost surely, 2^105964242 is an apocalyptic number.

105964242 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105964242 is a wasteful number, since it uses less digits than its factorization.

105964242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17660712.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105964242 is about 10293.8934325162. The cubic root of 105964242 is about 473.2091264171.

The spelling of 105964242 in words is "one hundred five million, nine hundred sixty-four thousand, two hundred forty-two".