103296120 has 64 divisors (see below), whose sum is σ = 312301440. Its totient is φ = 27331200.

The previous prime is 103296113. The next prime is 103296121. The reversal of 103296120 is 21692301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103296121) 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 15 ways as a sum of consecutive naturals, for example, 12435 + ... + 19005.

It is an arithmetic number, because the mean of its divisors is an integer number (4879710).

Almost surely, 2^103296120 is an apocalyptic number.

103296120 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 103296120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156150720).

103296120 is an abundant number, since it is smaller than the sum of its proper divisors (209005320).

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

103296120 is a wasteful number, since it uses less digits than its factorization.

103296120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 103296120 is about 10163.4698799180. The cubic root of 103296120 is about 469.2036007396.

The spelling of 103296120 in words is "one hundred three million, two hundred ninety-six thousand, one hundred twenty".