103628777045400 has 72 divisors (see below), whose sum is σ = 348019976250180. Its totient is φ = 27634340544960.

The previous prime is 103628777045393. The next prime is 103628777045449. The reversal of 103628777045400 is 4540777826301.

103628777045400 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 28 + 7 + 7 + 70 + 4 + 540 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×103628777045400³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28785769602 + ... + 28785773201.

Almost surely, 2^{103628777045400} is an apocalyptic number.

103628777045400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103628777045400 is an abundant number, since it is smaller than the sum of its proper divisors (244391199204780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103628777045400 is a wasteful number, since it uses less digits than its factorization.

103628777045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57571542825 (or 57571542813 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 103628777045400 in words is "one hundred three trillion, six hundred twenty-eight billion, seven hundred seventy-seven million, forty-five thousand, four hundred".