103965120 has 336 divisors, whose sum is σ = 426037248. Its totient is φ = 23639040.

The previous prime is 103965119. The next prime is 103965143. The reversal of 103965120 is 21569301.

103965120 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×103965120² = 21617492353228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544225 + ... + 544415.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^103965120 is an apocalyptic number.

103965120 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 103965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

103965120 is an abundant number, since it is smaller than the sum of its proper divisors (322072128).

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

103965120 is an equidigital number, since it uses as much as digits as its factorization.

103965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 103965120 is about 10196.3287510751. The cubic root of 103965120 is about 470.2143582336.

The spelling of 103965120 in words is "one hundred three million, nine hundred sixty-five thousand, one hundred twenty".