103259020800 has 480 divisors, whose sum is σ = 370387543680. Its totient is φ = 25207603200.

The previous prime is 103259020793. The next prime is 103259020807. The reversal of 103259020800 is 8020952301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103259020793) and next prime (103259020807).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103259020807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65394411 + ... + 65395989.

It is an arithmetic number, because the mean of its divisors is an integer number (771640716).

Almost surely, 2^103259020800 is an apocalyptic number.

103259020800 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 103259020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185193771840).

103259020800 is an abundant number, since it is smaller than the sum of its proper divisors (267128522880).

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

103259020800 is a wasteful number, since it uses less digits than its factorization.

103259020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 103259020800 in words is "one hundred three billion, two hundred fifty-nine million, twenty thousand, eight hundred".