105314461601 has 8 divisors (see below), whose sum is σ = 105413936544. Its totient is φ = 105215025760.

The previous prime is 105314461597. The next prime is 105314461663. The reversal of 105314461601 is 106164413501.

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 105314461601 - 2² = 105314461597 is a prime.

It is a super-2 number, since 2×105314461601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105314461001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8779730 + ... + 8791716.

It is an arithmetic number, because the mean of its divisors is an integer number (13176742068).

Almost surely, 2^105314461601 is an apocalyptic number.

It is an amenable number.

105314461601 is a deficient number, since it is larger than the sum of its proper divisors (99474943).

105314461601 is a wasteful number, since it uses less digits than its factorization.

105314461601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 105314461601 in words is "one hundred five billion, three hundred fourteen million, four hundred sixty-one thousand, six hundred one".