103747987200 has 864 divisors, whose sum is σ = 416438346240. Its totient is φ = 22398566400.

The previous prime is 103747987181. The next prime is 103747987223. The reversal of 103747987200 is 2789747301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103747987200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79621749 + ... + 79623051.

Almost surely, 2^103747987200 is an apocalyptic number.

103747987200 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 103747987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208219173120).

103747987200 is an abundant number, since it is smaller than the sum of its proper divisors (312690359040).

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

103747987200 is a wasteful number, since it uses less digits than its factorization.

103747987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 103747987200 in words is "one hundred three billion, seven hundred forty-seven million, nine hundred eighty-seven thousand, two hundred".