102365303040 has 1728 divisors, whose sum is σ = 493248268800. Its totient is φ = 19561512960.

The previous prime is 102365302997. The next prime is 102365303077. The reversal of 102365303040 is 40303563201.

It is a happy number.

102365303040 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 653 + 0 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102365302995 and 102365303013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380540026 + ... + 380540294.

It is an arithmetic number, because the mean of its divisors is an integer number (285444600).

Almost surely, 2^102365303040 is an apocalyptic number.

102365303040 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 102365303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246624134400).

102365303040 is an abundant number, since it is smaller than the sum of its proper divisors (390882965760).

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

102365303040 is a wasteful number, since it uses less digits than its factorization.

102365303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 102365303040 its reverse (40303563201), we get a palindrome (142668866241).

The spelling of 102365303040 in words is "one hundred two billion, three hundred sixty-five million, three hundred three thousand, forty".