105956961 has 8 divisors (see below), whose sum is σ = 154119264. Its totient is φ = 64216320.

The previous prime is 105956959. The next prime is 105956999. The reversal of 105956961 is 169659501.

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

It is not a de Polignac number, because 105956961 - 2¹ = 105956959 is a prime.

It is a super-2 number, since 2×105956961² = 22453755168711042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105952961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605376 + ... + 1605441.

It is an arithmetic number, because the mean of its divisors is an integer number (19264908).

Almost surely, 2^105956961 is an apocalyptic number.

105956961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105956961 is a deficient number, since it is larger than the sum of its proper divisors (48162303).

105956961 is a wasteful number, since it uses less digits than its factorization.

105956961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210831.

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 105956961 is about 10293.5397701665. The cubic root of 105956961 is about 473.1982878093.

The spelling of 105956961 in words is "one hundred five million, nine hundred fifty-six thousand, nine hundred sixty-one".