102364823040 has 320 divisors, whose sum is σ = 349442919936. Its totient is φ = 25501335552.

The previous prime is 102364822991. The next prime is 102364823087. The reversal of 102364823040 is 40328463201.

102364823040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 102364822992 and 102364823010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7588782 + ... + 7602258.

Almost surely, 2^102364823040 is an apocalyptic number.

102364823040 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 102364823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174721459968).

102364823040 is an abundant number, since it is smaller than the sum of its proper divisors (247078096896).

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

102364823040 is a wasteful number, since it uses less digits than its factorization.

102364823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569 (or 13553 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 102364823040 in words is "one hundred two billion, three hundred sixty-four million, eight hundred twenty-three thousand, forty".