103611872 has 216 divisors, whose sum is σ = 283890096. Its totient is φ = 36900864.

The previous prime is 103611817. The next prime is 103611887. The reversal of 103611872 is 278116301.

It is a super-3 number, since 3×103611872³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4504853 + ... + 4504875.

It is an arithmetic number, because the mean of its divisors is an integer number (1314306).

Almost surely, 2^103611872 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 103611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141945048).

103611872 is an abundant number, since it is smaller than the sum of its proper divisors (180278224).

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

103611872 is a wasteful number, since it uses less digits than its factorization.

103611872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 103611872 is about 10178.9916985918. The cubic root of 103611872 is about 469.6811962062.

The spelling of 103611872 in words is "one hundred three million, six hundred eleven thousand, eight hundred seventy-two".