103601920 has 72 divisors (see below), whose sum is σ = 256808160. Its totient is φ = 39997440.

The previous prime is 103601879. The next prime is 103601923. The reversal of 103601920 is 29106301.

It is a super-3 number, since 3×103601920³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103601891 and 103601900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103601923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35725 + ... + 38515.

It is an arithmetic number, because the mean of its divisors is an integer number (3566780).

Almost surely, 2^103601920 is an apocalyptic number.

103601920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128404080).

103601920 is an abundant number, since it is smaller than the sum of its proper divisors (153206240).

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

103601920 is an equidigital number, since it uses as much as digits as its factorization.

103601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 103601920 is about 10178.5028368616. The cubic root of 103601920 is about 469.6661579780. Note that the first 3 decimals are identical.

The spelling of 103601920 in words is "one hundred three million, six hundred one thousand, nine hundred twenty".