103745985 has 144 divisors (see below), whose sum is σ = 225161856. Its totient is φ = 40449024.

The previous prime is 103745977. The next prime is 103745987. The reversal of 103745985 is 589547301.

It is not a de Polignac number, because 103745985 - 2³ = 103745977 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103745987) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4510684 + ... + 4510706.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 2^103745985 is an apocalyptic number.

103745985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103745985 is an abundant number, since it is smaller than the sum of its proper divisors (121415871).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103745985 is a wasteful number, since it uses less digits than its factorization.

103745985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 103745985 is about 10185.5773032264. The cubic root of 103745985 is about 469.8837572795.

The spelling of 103745985 in words is "one hundred three million, seven hundred forty-five thousand, nine hundred eighty-five".