103920000 has 160 divisors (see below), whose sum is σ = 345733080. Its totient is φ = 27648000.

The previous prime is 103919999. The next prime is 103920041. The reversal of 103920000 is 29301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239784 + ... + 240216.

Almost surely, 2^103920000 is an apocalyptic number.

103920000 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 103920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172866540).

103920000 is an abundant number, since it is smaller than the sum of its proper divisors (241813080).

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

103920000 is an frugal number, since it uses more digits than its factorization.

103920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103920000 is about 10194.1159498997. The cubic root of 103920000 is about 470.1463253466.

Adding to 103920000 its reverse (29301), we get a palindrome (103949301).

The spelling of 103920000 in words is "one hundred three million, nine hundred twenty thousand".