100958445604865 has 8 divisors (see below), whose sum is σ = 121150652700840. Its totient is φ = 80766411167232.

The previous prime is 100958445604829. The next prime is 100958445604949. The reversal of 100958445604865 is 568406544859001.

It is a Cunningham number, because it is equal to 10047808²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 13408720651264 + 87549724953601 = 3661792^2 + 9356801^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100958445604865 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41874674 + ... + 44219963.

It is an arithmetic number, because the mean of its divisors is an integer number (15143831587605).

Almost surely, 2^{100958445604865} is an apocalyptic number.

It is an amenable number.

100958445604865 is a deficient number, since it is larger than the sum of its proper divisors (20192207095975).

100958445604865 is an equidigital number, since it uses as much as digits as its factorization.

100958445604865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86329171.

The product of its (nonzero) digits is 165888000, while the sum is 65.

The spelling of 100958445604865 in words is "one hundred trillion, nine hundred fifty-eight billion, four hundred forty-five million, six hundred four thousand, eight hundred sixty-five".