103887124600 has 288 divisors, whose sum is σ = 296584588800. Its totient is φ = 33649862400.

The previous prime is 103887124571. The next prime is 103887124609. The reversal of 103887124600 is 6421788301.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103887124609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104830105 + ... + 104831095.

It is an arithmetic number, because the mean of its divisors is an integer number (1029807600).

Almost surely, 2^103887124600 is an apocalyptic number.

103887124600 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 103887124600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148292294400).

103887124600 is an abundant number, since it is smaller than the sum of its proper divisors (192697464200).

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

103887124600 is a wasteful number, since it uses less digits than its factorization.

103887124600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 103887124600 in words is "one hundred three billion, eight hundred eighty-seven million, one hundred twenty-four thousand, six hundred".