100038947250 has 256 divisors, whose sum is σ = 287790796800. Its totient is φ = 22890816000.

The previous prime is 100038947249. The next prime is 100038947311. The reversal of 100038947250 is 52749830001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100038947199 and 100038947208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49061731 + ... + 49063769.

It is an arithmetic number, because the mean of its divisors is an integer number (1124182800).

Almost surely, 2^100038947250 is an apocalyptic number.

100038947250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100038947250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143895398400).

100038947250 is an abundant number, since it is smaller than the sum of its proper divisors (187751849550).

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

100038947250 is a wasteful number, since it uses less digits than its factorization.

100038947250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 100038947250 in words is "one hundred billion, thirty-eight million, nine hundred forty-seven thousand, two hundred fifty".