103661456525001 has 6 divisors (see below), whose sum is σ = 149733214980570. Its totient is φ = 69107637683328.

The previous prime is 103661456524931. The next prime is 103661456525017. The reversal of 103661456525001 is 100525654166301.

103661456525001 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 61 + 4 + 565 + 25 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94904147999376 + 8757308525625 = 9741876^2 + 2959275^2 .

It is not a de Polignac number, because 103661456525001 - 2⁹ = 103661456524489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103661456525701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5758969806936 + ... + 5758969806953.

It is an arithmetic number, because the mean of its divisors is an integer number (24955535830095).

Almost surely, 2^{103661456525001} is an apocalyptic number.

It is an amenable number.

103661456525001 is a deficient number, since it is larger than the sum of its proper divisors (46071758455569).

103661456525001 is a wasteful number, since it uses less digits than its factorization.

103661456525001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517939613895 (or 11517939613892 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 103661456525001 in words is "one hundred three trillion, six hundred sixty-one billion, four hundred fifty-six million, five hundred twenty-five thousand, one".