102380112 has 100 divisors (see below), whose sum is σ = 298564596. Its totient is φ = 33868800.

The previous prime is 102380111. The next prime is 102380123. The reversal of 102380112 is 211083201.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 1498176 = 10044^2 + 1224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102380111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 255112 + ... + 255512.

Almost surely, 2^102380112 is an apocalyptic number.

102380112 is a gapful number since it is divisible by the number (12) 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 102380112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149282298).

102380112 is an abundant number, since it is smaller than the sum of its proper divisors (196184484).

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

102380112 is a wasteful number, since it uses less digits than its factorization.

102380112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 603 counting only the distinct ones).

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

The square root of 102380112 is about 10118.3057870377. The cubic root of 102380112 is about 467.8125482026.

The spelling of 102380112 in words is "one hundred two million, three hundred eighty thousand, one hundred twelve".