103138084032561 has 8 divisors (see below), whose sum is σ = 152797161529760. Its totient is φ = 68758722688356.

The previous prime is 103138084032559. The next prime is 103138084032563. The reversal of 103138084032561 is 165230480831301.

It is a happy number.

103138084032561 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 8 + 0 + 84 + 0 + 3 + 2 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (103138084032559) and next prime (103138084032563).

It is not a de Polignac number, because 103138084032561 - 2¹ = 103138084032559 is a prime.

It is a super-2 number, since 2×103138084032561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103138084032563) 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, 1909964519095 + ... + 1909964519148.

It is an arithmetic number, because the mean of its divisors is an integer number (19099645191220).

Almost surely, 2^{103138084032561} is an apocalyptic number.

It is an amenable number.

103138084032561 is a deficient number, since it is larger than the sum of its proper divisors (49659077497199).

103138084032561 is an equidigital number, since it uses as much as digits as its factorization.

103138084032561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819929038252 (or 3819929038246 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 103138084032561 in words is "one hundred three trillion, one hundred thirty-eight billion, eighty-four million, thirty-two thousand, five hundred sixty-one".