102387792 has 160 divisors (see below), whose sum is σ = 302202880. Its totient is φ = 29652480.

The previous prime is 102387763. The next prime is 102387793. The reversal of 102387792 is 297783201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 102387792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102387793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296009 + ... + 1296087.

It is an arithmetic number, because the mean of its divisors is an integer number (1888768).

Almost surely, 2^102387792 is an apocalyptic number.

102387792 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 102387792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151101440).

102387792 is an abundant number, since it is smaller than the sum of its proper divisors (199815088).

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

102387792 is a wasteful number, since it uses less digits than its factorization.

102387792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 102387792 is about 10118.6852900957. The cubic root of 102387792 is about 467.8242454957.

The spelling of 102387792 in words is "one hundred two million, three hundred eighty-seven thousand, seven hundred ninety-two".