102319840 has 144 divisors (see below), whose sum is σ = 290957184. Its totient is φ = 33868800.

The previous prime is 102319823. The next prime is 102319873. The reversal of 102319840 is 48913201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102319799 and 102319808.

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 23 ways as a sum of consecutive naturals, for example, 242830 + ... + 243250.

It is an arithmetic number, because the mean of its divisors is an integer number (2020536).

Almost surely, 2^102319840 is an apocalyptic number.

102319840 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 102319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145478592).

102319840 is an abundant number, since it is smaller than the sum of its proper divisors (188637344).

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

102319840 is a wasteful number, since it uses less digits than its factorization.

102319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 102319840 is about 10115.3269843342. The cubic root of 102319840 is about 467.7207285050.

The spelling of 102319840 in words is "one hundred two million, three hundred nineteen thousand, eight hundred forty".