102430440 has 256 divisors, whose sum is σ = 413683200. Its totient is φ = 22007808.

The previous prime is 102430439. The next prime is 102430441. The reversal of 102430440 is 44034201.

It is an interprime number because it is at equal distance from previous prime (102430439) and next prime (102430441).

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 (102430441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128122 + ... + 128918.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^102430440 is an apocalyptic number.

102430440 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 102430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

102430440 is an abundant number, since it is smaller than the sum of its proper divisors (311252760).

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

102430440 is a wasteful number, since it uses less digits than its factorization.

102430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

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

The square root of 102430440 is about 10120.7924590913. The cubic root of 102430440 is about 467.8891913858.

Adding to 102430440 its reverse (44034201), we get a palindrome (146464641).

The spelling of 102430440 in words is "one hundred two million, four hundred thirty thousand, four hundred forty".