102307840 has 96 divisors (see below), whose sum is σ = 250417440. Its totient is φ = 40108032.

The previous prime is 102307831. The next prime is 102307847. The reversal of 102307840 is 48703201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102307847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993229 + ... + 993331.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 2^102307840 is an apocalyptic number.

102307840 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 102307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125208720).

102307840 is an abundant number, since it is smaller than the sum of its proper divisors (148109600).

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

102307840 is an equidigital number, since it uses as much as digits as its factorization.

102307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 102307840 is about 10114.7338076689. The cubic root of 102307840 is about 467.7024431357.

The spelling of 102307840 in words is "one hundred two million, three hundred seven thousand, eight hundred forty".