106205314460547 has 8 divisors (see below), whose sum is σ = 141646497897744. Its totient is φ = 70783836998528.

The previous prime is 106205314460489. The next prime is 106205314460599. The reversal of 106205314460547 is 745064413502601.

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 106205314460547 - 2³¹ = 106203166976899 is a prime.

It is a super-2 number, since 2×106205314460547² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106205314460496 and 106205314460505.

It is not an unprimeable number, because it can be changed into a prime (106205314460747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4926481218 + ... + 4926502775.

It is an arithmetic number, because the mean of its divisors is an integer number (17705812237218).

Almost surely, 2^{106205314460547} is an apocalyptic number.

106205314460547 is a deficient number, since it is larger than the sum of its proper divisors (35441183437197).

106205314460547 is an equidigital number, since it uses as much as digits as its factorization.

106205314460547 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852987589.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 106205314460547 in words is "one hundred six trillion, two hundred five billion, three hundred fourteen million, four hundred sixty thousand, five hundred forty-seven".