102442619565 has 256 divisors, whose sum is σ = 227551887360. Its totient is φ = 42960015360.

The previous prime is 102442619549. The next prime is 102442619569. The reversal of 102442619565 is 565916244201.

102442619565 is a `hidden beast` number, since 1 + 0 + 2 + 442 + 61 + 95 + 65 = 666.

It is not a de Polignac number, because 102442619565 - 2⁴ = 102442619549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 102442619565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102442619569) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92875804 + ... + 92876906.

It is an arithmetic number, because the mean of its divisors is an integer number (888874560).

Almost surely, 2^102442619565 is an apocalyptic number.

102442619565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102442619565 is an abundant number, since it is smaller than the sum of its proper divisors (125109267795).

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

102442619565 is a wasteful number, since it uses less digits than its factorization.

102442619565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 102442619565 in words is "one hundred two billion, four hundred forty-two million, six hundred nineteen thousand, five hundred sixty-five".