103165656 has 128 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 29030400.

The previous prime is 103165637. The next prime is 103165679. The reversal of 103165656 is 656561301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569886 + ... + 570066.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^103165656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103165656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

103165656 is an abundant number, since it is smaller than the sum of its proper divisors (198750504).

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

103165656 is a wasteful number, since it uses less digits than its factorization.

103165656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 103165656 is about 10157.0495716030. The cubic root of 103165656 is about 469.0059812871.

The spelling of 103165656 in words is "one hundred three million, one hundred sixty-five thousand, six hundred fifty-six".