102342240 has 576 divisors, whose sum is σ = 475517952. Its totient is φ = 19353600.

The previous prime is 102342239. The next prime is 102342281. The reversal of 102342240 is 42243201.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441405 + ... + 1441475.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^102342240 is an apocalyptic number.

102342240 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 102342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

102342240 is an abundant number, since it is smaller than the sum of its proper divisors (373175712).

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

102342240 is a wasteful number, since it uses less digits than its factorization.

102342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102342240 is about 10116.4341543846. The cubic root of 102342240 is about 467.7548573695.

Adding to 102342240 its reverse (42243201), we get a palindrome (144585441).

The spelling of 102342240 in words is "one hundred two million, three hundred forty-two thousand, two hundred forty".