102407382 has 96 divisors (see below), whose sum is σ = 286003200. Its totient is φ = 26587440.

The previous prime is 102407317. The next prime is 102407387. The reversal of 102407382 is 283704201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102407387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44619 + ... + 46857.

It is an arithmetic number, because the mean of its divisors is an integer number (2979200).

Almost surely, 2^102407382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102407382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143001600).

102407382 is an abundant number, since it is smaller than the sum of its proper divisors (183595818).

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

102407382 is a wasteful number, since it uses less digits than its factorization.

102407382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102407382 is about 10119.6532549292. The cubic root of 102407382 is about 467.8540800830.

The spelling of 102407382 in words is "one hundred two million, four hundred seven thousand, three hundred eighty-two".