102561863040 has 768 divisors, whose sum is σ = 452094289920. Its totient is φ = 21636440064.

The previous prime is 102561863011. The next prime is 102561863059. The reversal of 102561863040 is 40368165201.

It is a happy number.

102561863040 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 6 + 18 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102561862986 and 102561863004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14148697 + ... + 14155943.

It is an arithmetic number, because the mean of its divisors is an integer number (588664440).

Almost surely, 2^102561863040 is an apocalyptic number.

102561863040 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 102561863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226047144960).

102561863040 is an abundant number, since it is smaller than the sum of its proper divisors (349532426880).

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

102561863040 is an equidigital number, since it uses as much as digits as its factorization.

102561863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 102561863040 in words is "one hundred two billion, five hundred sixty-one million, eight hundred sixty-three thousand, forty".