387510113100 has 288 divisors, whose sum is σ = 1261756742400. Its totient is φ = 90997171200.

The previous prime is 387510113059. The next prime is 387510113119. The reversal of 387510113100 is 1311015783.

It is a super-3 number, since 3×387510113100³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27953971 + ... + 27967829.

It is an arithmetic number, because the mean of its divisors is an integer number (4381099800).

Almost surely, 2^387510113100 is an apocalyptic number.

387510113100 is a gapful number since it is divisible by the number (30) 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 387510113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630878371200).

387510113100 is an abundant number, since it is smaller than the sum of its proper divisors (874246629300).

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

387510113100 is a wasteful number, since it uses less digits than its factorization.

387510113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 387510113100 its reverse (1311015783), we get a palindrome (388821128883).

The spelling of 387510113100 in words is "three hundred eighty-seven billion, five hundred ten million, one hundred thirteen thousand, one hundred".