30103920 has 320 divisors, whose sum is σ = 129991680. Its totient is φ = 6220800.

The previous prime is 30103907. The next prime is 30103933. The reversal of 30103920 is 2930103.

It is an interprime number because it is at equal distance from previous prime (30103907) and next prime (30103933).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30103893 and 30103902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166230 + ... + 166410.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^30103920 is an apocalyptic number.

30103920 is a gapful number since it is divisible by the number (30) 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 30103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

30103920 is an abundant number, since it is smaller than the sum of its proper divisors (99887760).

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

30103920 is a wasteful number, since it uses less digits than its factorization.

30103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30103920 is about 5486.7039285895. The cubic root of 30103920 is about 311.0816188975.

The spelling of 30103920 in words is "thirty million, one hundred three thousand, nine hundred twenty".