103806160 has 40 divisors (see below), whose sum is σ = 242428680. Its totient is φ = 41336832.

The previous prime is 103806151. The next prime is 103806163. The reversal of 103806160 is 61608301.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 103795344 = 104^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103806163) 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, 15856 + ... + 21424.

It is an arithmetic number, because the mean of its divisors is an integer number (6060717).

Almost surely, 2^103806160 is an apocalyptic number.

103806160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103806160 is an abundant number, since it is smaller than the sum of its proper divisors (138622520).

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

103806160 is a wasteful number, since it uses less digits than its factorization.

103806160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 103806160 is about 10188.5308067454. The cubic root of 103806160 is about 469.9745874294.

The spelling of 103806160 in words is "one hundred three million, eight hundred six thousand, one hundred sixty".