102381120 has 168 divisors, whose sum is σ = 370880640. Its totient is φ = 25850880.

The previous prime is 102381079. The next prime is 102381121. The reversal of 102381120 is 21183201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102381093 and 102381102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102381121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53785 + ... + 55655.

Almost surely, 2^102381120 is an apocalyptic number.

102381120 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 102381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440320).

102381120 is an abundant number, since it is smaller than the sum of its proper divisors (268499520).

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

102381120 is a wasteful number, since it uses less digits than its factorization.

102381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102381120 is about 10118.3555976255. The cubic root of 102381120 is about 467.8140835057.

The spelling of 102381120 in words is "one hundred two million, three hundred eighty-one thousand, one hundred twenty".