102285701093160 has 768 divisors, whose sum is σ = 364733716838400. Its totient is φ = 24708818534400.

The previous prime is 102285701093123. The next prime is 102285701093161. The reversal of 102285701093160 is 61390107582201.

102285701093160 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 8 + 570 + 10 + 9 + 3 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102285701093161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48407808264 + ... + 48407810376.

It is an arithmetic number, because the mean of its divisors is an integer number (474913693800).

Almost surely, 2^{102285701093160} is an apocalyptic number.

102285701093160 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 102285701093160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182366858419200).

102285701093160 is an abundant number, since it is smaller than the sum of its proper divisors (262448015745240).

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

102285701093160 is a wasteful number, since it uses less digits than its factorization.

102285701093160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 102285701093160 in words is "one hundred two trillion, two hundred eighty-five billion, seven hundred one million, ninety-three thousand, one hundred sixty".