102428836560 has 180 divisors, whose sum is σ = 365415912108. Its totient is φ = 25707577344.

The previous prime is 102428836547. The next prime is 102428836567. The reversal of 102428836560 is 65638824201.

102428836560 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 8 + 83 + 6 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 103063104 + 102325773456 = 10152^2 + 319884^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102428836567) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 38049 + ... + 454208.

Almost surely, 2^102428836560 is an apocalyptic number.

102428836560 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 102428836560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182707956054).

102428836560 is an abundant number, since it is smaller than the sum of its proper divisors (262987075548).

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

102428836560 is a wasteful number, since it uses less digits than its factorization.

102428836560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492310 (or 492284 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 102428836560 in words is "one hundred two billion, four hundred twenty-eight million, eight hundred thirty-six thousand, five hundred sixty".