103628777045401 has 8 divisors (see below), whose sum is σ = 104819416216200. Its totient is φ = 102438721672320.

The previous prime is 103628777045393. The next prime is 103628777045449. The reversal of 103628777045401 is 104540777826301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15878439770176 + 87750337275225 = 3984776^2 + 9367515^2 .

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 103628777045401 - 2³ = 103628777045393 is a prime.

It is a super-3 number, since 3×103628777045401³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103628777045501) 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, 145592370 + ... + 146302411.

It is an arithmetic number, because the mean of its divisors is an integer number (13102427027025).

Almost surely, 2^{103628777045401} is an apocalyptic number.

It is an amenable number.

103628777045401 is a deficient number, since it is larger than the sum of its proper divisors (1190639170799).

103628777045401 is an equidigital number, since it uses as much as digits as its factorization.

103628777045401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291898859.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 103628777045401 in words is "one hundred three trillion, six hundred twenty-eight billion, seven hundred seventy-seven million, forty-five thousand, four hundred one".