103089461085 has 24 divisors (see below), whose sum is σ = 192433661784. Its totient is φ = 50751734400.

The previous prime is 103089461077. The next prime is 103089461089. The reversal of 103089461085 is 580164980301.

103089461085 is a `hidden beast` number, since 1 + 0 + 30 + 89 + 461 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1646574084 + 101442887001 = 40578^2 + 318501^2 .

It is not a de Polignac number, because 103089461085 - 2³ = 103089461077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 103089461085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103089461089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88110066 + ... + 88111235.

It is an arithmetic number, because the mean of its divisors is an integer number (8018069241).

Almost surely, 2^103089461085 is an apocalyptic number.

103089461085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103089461085 is a deficient number, since it is larger than the sum of its proper divisors (89344200699).

103089461085 is a wasteful number, since it uses less digits than its factorization.

103089461085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176221325 (or 176221322 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 103089461085 in words is "one hundred three billion, eighty-nine million, four hundred sixty-one thousand, eighty-five".