105146977 has 8 divisors (see below), whose sum is σ = 113812776. Its totient is φ = 96563712.

The previous prime is 105146963. The next prime is 105146999. The reversal of 105146977 is 779641501.

It can be written as a sum of positive squares in 4 ways, for example, as 8242641 + 96904336 = 2871^2 + 9844^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105146977 - 2¹¹ = 105144929 is a prime.

It is a super-2 number, since 2×105146977² = 22111773544477058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105146917) 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, 17968 + ... + 23089.

It is an arithmetic number, because the mean of its divisors is an integer number (14226597).

Almost surely, 2^105146977 is an apocalyptic number.

It is an amenable number.

105146977 is a deficient number, since it is larger than the sum of its proper divisors (8665799).

105146977 is a wasteful number, since it uses less digits than its factorization.

105146977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41267.

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 105146977 is about 10254.1200012483. The cubic root of 105146977 is about 471.9894200085.

The spelling of 105146977 in words is "one hundred five million, one hundred forty-six thousand, nine hundred seventy-seven".