102435440 has 40 divisors (see below), whose sum is σ = 240855120. Its totient is φ = 40510976.

The previous prime is 102435433. The next prime is 102435451. The reversal of 102435440 is 44534201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 14313.

It is an arithmetic number, because the mean of its divisors is an integer number (6021378).

Almost surely, 2^102435440 is an apocalyptic number.

102435440 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 102435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120427560).

102435440 is an abundant number, since it is smaller than the sum of its proper divisors (138419680).

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

102435440 is a wasteful number, since it uses less digits than its factorization.

102435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489 (or 14483 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 102435440 is about 10121.0394723072. The cubic root of 102435440 is about 467.8968043828.

Adding to 102435440 its reverse (44534201), we get a palindrome (146969641).

The spelling of 102435440 in words is "one hundred two million, four hundred thirty-five thousand, four hundred forty".