102053170560 has 1024 divisors, whose sum is σ = 397464330240. Its totient is φ = 21980774400.

The previous prime is 102053170559. The next prime is 102053170567. The reversal of 102053170560 is 65071350201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102053170567) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 589902634 + ... + 589902806.

It is an arithmetic number, because the mean of its divisors is an integer number (388148760).

Almost surely, 2^102053170560 is an apocalyptic number.

102053170560 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 102053170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198732165120).

102053170560 is an abundant number, since it is smaller than the sum of its proper divisors (295411159680).

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

102053170560 is a wasteful number, since it uses less digits than its factorization.

102053170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 102053170560 in words is "one hundred two billion, fifty-three million, one hundred seventy thousand, five hundred sixty".