102096783360 has 1152 divisors, whose sum is σ = 425852743680. Its totient is φ = 22295347200.

The previous prime is 102096783301. The next prime is 102096783361. The reversal of 102096783360 is 63387690201.

102096783360 is a `hidden beast` number, since 1 + 0 + 209 + 6 + 7 + 83 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (102096783361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803911617 + ... + 803911743.

It is an arithmetic number, because the mean of its divisors is an integer number (369663840).

Almost surely, 2^102096783360 is an apocalyptic number.

102096783360 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 102096783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212926371840).

102096783360 is an abundant number, since it is smaller than the sum of its proper divisors (323755960320).

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

102096783360 is a wasteful number, since it uses less digits than its factorization.

102096783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 102096783360 in words is "one hundred two billion, ninety-six million, seven hundred eighty-three thousand, three hundred sixty".