101064260345 has 8 divisors (see below), whose sum is σ = 121299288264. Its totient is φ = 80836624384.

The previous prime is 101064260273. The next prime is 101064260359. The reversal of 101064260345 is 543062460101.

It can be written as a sum of positive squares in 4 ways, for example, as 79057131241 + 22007129104 = 281171^2 + 148348^2 .

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 101064260345 - 2¹⁶ = 101064194809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1817864 + ... + 1872633.

It is an arithmetic number, because the mean of its divisors is an integer number (15162411033).

Almost surely, 2^101064260345 is an apocalyptic number.

It is an amenable number.

101064260345 is a deficient number, since it is larger than the sum of its proper divisors (20235027919).

101064260345 is an equidigital number, since it uses as much as digits as its factorization.

101064260345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695979.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 101064260345 in words is "one hundred one billion, sixty-four million, two hundred sixty thousand, three hundred forty-five".