103908301200 has 960 divisors, whose sum is σ = 416613335040. Its totient is φ = 24385536000.

The previous prime is 103908301199. The next prime is 103908301243. The reversal of 103908301200 is 2103809301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 818175537 + ... + 818175663.

It is an arithmetic number, because the mean of its divisors is an integer number (433972224).

Almost surely, 2^103908301200 is an apocalyptic number.

103908301200 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 103908301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208306667520).

103908301200 is an abundant number, since it is smaller than the sum of its proper divisors (312705033840).

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

103908301200 is a wasteful number, since it uses less digits than its factorization.

103908301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 103908301200 in words is "one hundred three billion, nine hundred eight million, three hundred one thousand, two hundred".