102693782016 has 320 divisors, whose sum is σ = 352323164160. Its totient is φ = 28925890560.

The previous prime is 102693782011. The next prime is 102693782021. The reversal of 102693782016 is 610287396201.

102693782016 is a `hidden beast` number, since 1 + 0 + 269 + 378 + 2 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (102693782011) and next prime (102693782021).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102693782011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6863055 + ... + 6878001.

It is an arithmetic number, because the mean of its divisors is an integer number (1101009888).

Almost surely, 2^102693782016 is an apocalyptic number.

102693782016 is a gapful number since it is divisible by the number (16) 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 102693782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176161582080).

102693782016 is an abundant number, since it is smaller than the sum of its proper divisors (249629382144).

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

102693782016 is an equidigital number, since it uses as much as digits as its factorization.

102693782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15052 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 102693782016 in words is "one hundred two billion, six hundred ninety-three million, seven hundred eighty-two thousand, sixteen".