102565025640 has 576 divisors, whose sum is σ = 430101060480. Its totient is φ = 20733926400.

The previous prime is 102565025621. The next prime is 102565025669. The reversal of 102565025640 is 46520565201.

102565025640 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 6 + 5 + 0 + 2 + 5 + 640 = 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 = 102565025595 and 102565025604.

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 143 ways as a sum of consecutive naturals, for example, 11277495 + ... + 11286585.

It is an arithmetic number, because the mean of its divisors is an integer number (746703230).

Almost surely, 2^102565025640 is an apocalyptic number.

102565025640 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 102565025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215050530240).

102565025640 is an abundant number, since it is smaller than the sum of its proper divisors (327536034840).

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

102565025640 is a wasteful number, since it uses less digits than its factorization.

102565025640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9156 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 102565025640 in words is "one hundred two billion, five hundred sixty-five million, twenty-five thousand, six hundred forty".