102153310323440 has 80 divisors (see below), whose sum is σ = 255019349592000. Its totient is φ = 37916058808320.

The previous prime is 102153310323401. The next prime is 102153310323443. The reversal of 102153310323440 is 44323013351201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102153310323397 and 102153310323406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102153310323443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528866315 + ... + 529059434.

It is an arithmetic number, because the mean of its divisors is an integer number (3187741869900).

Almost surely, 2^{102153310323440} is an apocalyptic number.

102153310323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102153310323440 is an abundant number, since it is smaller than the sum of its proper divisors (152866039268560).

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

102153310323440 is a wasteful number, since it uses less digits than its factorization.

102153310323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057925850 (or 1057925844 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 102153310323440 its reverse (44323013351201), we get a palindrome (146476323674641).

The spelling of 102153310323440 in words is "one hundred two trillion, one hundred fifty-three billion, three hundred ten million, three hundred twenty-three thousand, four hundred forty".