103488613200 has 600 divisors, whose sum is σ = 426872202240. Its totient is φ = 23520844800.

The previous prime is 103488613187. The next prime is 103488613219. The reversal of 103488613200 is 2316884301.

103488613200 is a `hidden beast` number, since 1 + 0 + 34 + 8 + 8 + 613 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43317606 + ... + 43319994.

Almost surely, 2^103488613200 is an apocalyptic number.

103488613200 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 103488613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213436101120).

103488613200 is an abundant number, since it is smaller than the sum of its proper divisors (323383589040).

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

103488613200 is a wasteful number, since it uses less digits than its factorization.

103488613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 103488613200 in words is "one hundred three billion, four hundred eighty-eight million, six hundred thirteen thousand, two hundred".