381117100 has 216 divisors, whose sum is σ = 1075014528. Its totient is φ = 116121600.

The previous prime is 381117091. The next prime is 381117103. The reversal of 381117100 is 1711183.

381117100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (381117103) 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, 1974604 + ... + 1974796.

Almost surely, 2^381117100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537507264).

381117100 is an abundant number, since it is smaller than the sum of its proper divisors (693897428).

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

381117100 is a wasteful number, since it uses less digits than its factorization.

381117100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 22.

The square root of 381117100 is about 19522.2206728640. The cubic root of 381117100 is about 725.0247157646.

Adding to 381117100 its reverse (1711183), we get a palindrome (382828283).

The spelling of 381117100 in words is "three hundred eighty-one million, one hundred seventeen thousand, one hundred".