103304185920 has 280 divisors, whose sum is σ = 395739466584. Its totient is φ = 25428639744.

The previous prime is 103304185877. The next prime is 103304185927. The reversal of 103304185920 is 29581403301.

It can be written as a sum of positive squares in 4 ways, for example, as 1154912256 + 102149273664 = 33984^2 + 319608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103304185927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 183672 + ... + 490248.

Almost surely, 2^103304185920 is an apocalyptic number.

103304185920 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 103304185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197869733292).

103304185920 is an abundant number, since it is smaller than the sum of its proper divisors (292435280664).

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

103304185920 is a wasteful number, since it uses less digits than its factorization.

103304185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306619 (or 306600 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 103304185920 in words is "one hundred three billion, three hundred four million, one hundred eighty-five thousand, nine hundred twenty".