103876645401 has 81 divisors (see below), whose sum is σ = 163822723519. Its totient is φ = 65857288464.

The previous prime is 103876645363. The next prime is 103876645421. The reversal of 103876645401 is 104546678301.

The square root of 103876645401 is 322299.

It is a perfect power (a square), and thus also a powerful number.

103876645401 is a `hidden beast` number, since 1 + 0 + 38 + 76 + 6 + 4 + 540 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94491686025 + 9384959376 = 307395^2 + 96876^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 103876645401 - 2⁷ = 103876645273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103876645421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 600442951 + ... + 600443123.

Almost surely, 2^103876645401 is an apocalyptic number.

103876645401 is the 322299-th square number.

103876645401 is the 161150-th centered octagonal number.

It is an amenable number.

103876645401 is a deficient number, since it is larger than the sum of its proper divisors (59946078118).

103876645401 is an frugal number, since it uses more digits than its factorization.

103876645401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 103876645401 in words is "one hundred three billion, eight hundred seventy-six million, six hundred forty-five thousand, four hundred one".