102863416320 has 1232 divisors, whose sum is σ = 439885037568. Its totient is φ = 22574039040.

The previous prime is 102863416301. The next prime is 102863416393. The reversal of 102863416320 is 23614368201.

102863416320 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 634 + 16 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 809948097 + ... + 809948223.

Almost surely, 2^102863416320 is an apocalyptic number.

102863416320 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 102863416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219942518784).

102863416320 is an abundant number, since it is smaller than the sum of its proper divisors (337021621248).

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

102863416320 is an equidigital number, since it uses as much as digits as its factorization.

102863416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 102863416320 in words is "one hundred two billion, eight hundred sixty-three million, four hundred sixteen thousand, three hundred twenty".