103642164 has 36 divisors (see below), whose sum is σ = 262647840. Its totient is φ = 34459920.

The previous prime is 103642159. The next prime is 103642177. The reversal of 103642164 is 461246301.

103642164 is a `hidden beast` number, since 1 + 0 + 3 + 642 + 16 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×103642164³ (a number of 25 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 11649 + ... + 18519.

Almost surely, 2^103642164 is an apocalyptic number.

It is an amenable number.

103642164 is an abundant number, since it is smaller than the sum of its proper divisors (159005676).

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

103642164 is a wasteful number, since it uses less digits than its factorization.

103642164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103642164 is about 10180.4795564846. The cubic root of 103642164 is about 469.7269637945.

Adding to 103642164 its reverse (461246301), we get a palindrome (564888465).

The spelling of 103642164 in words is "one hundred three million, six hundred forty-two thousand, one hundred sixty-four".