103249894792725 has 72 divisors (see below), whose sum is σ = 185838726888360. Its totient is φ = 54796884226560.

The previous prime is 103249894792699. The next prime is 103249894792727. The reversal of 103249894792725 is 527297498942301.

103249894792725 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 4 + 9 + 89 + 479 + 2 + 72 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17254577822769 + 85995316969956 = 4153863^2 + 9273366^2 .

It is not a de Polignac number, because 103249894792725 - 2⁶ = 103249894792661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103249894792727) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 96178627 + ... + 97246223.

It is an arithmetic number, because the mean of its divisors is an integer number (2581093429005).

Almost surely, 2^{103249894792725} is an apocalyptic number.

103249894792725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103249894792725 is a deficient number, since it is larger than the sum of its proper divisors (82588832095635).

103249894792725 is a wasteful number, since it uses less digits than its factorization.

103249894792725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069719 (or 1069711 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 103249894792725 in words is "one hundred three trillion, two hundred forty-nine billion, eight hundred ninety-four million, seven hundred ninety-two thousand, seven hundred twenty-five".