103329120 has 96 divisors (see below), whose sum is σ = 330916320. Its totient is φ = 27095040.

The previous prime is 103329103. The next prime is 103329199. The reversal of 103329120 is 21923301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 27516 + ... + 31044.

It is an arithmetic number, because the mean of its divisors is an integer number (3447045).

Almost surely, 2^103329120 is an apocalyptic number.

103329120 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 103329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165458160).

103329120 is an abundant number, since it is smaller than the sum of its proper divisors (227587200).

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

103329120 is a wasteful number, since it uses less digits than its factorization.

103329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 103329120 is about 10165.0932115746. The cubic root of 103329120 is about 469.2535608938.

The spelling of 103329120 in words is "one hundred three million, three hundred twenty-nine thousand, one hundred twenty".