103966164 has 72 divisors (see below), whose sum is σ = 275795520. Its totient is φ = 32959872.

The previous prime is 103966153. The next prime is 103966171. The reversal of 103966164 is 461669301.

103966164 is a `hidden beast` number, since 1 + 0 + 39 + 6 + 616 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 253992 + ... + 254400.

Almost surely, 2^103966164 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 103966164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137897760).

103966164 is an abundant number, since it is smaller than the sum of its proper divisors (171829356).

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

103966164 is a wasteful number, since it uses less digits than its factorization.

103966164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 103966164 is about 10196.3799458435. The cubic root of 103966164 is about 470.2159321658.

The spelling of 103966164 in words is "one hundred three million, nine hundred sixty-six thousand, one hundred sixty-four".