102718066320 has 240 divisors, whose sum is σ = 354270039552. Its totient is φ = 26657003520.

The previous prime is 102718066307. The next prime is 102718066357. The reversal of 102718066320 is 23660817201.

102718066320 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 18 + 0 + 6 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×102718066320² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8693857 + ... + 8705663.

Almost surely, 2^102718066320 is an apocalyptic number.

102718066320 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 102718066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177135019776).

102718066320 is an abundant number, since it is smaller than the sum of its proper divisors (251551973232).

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

102718066320 is a wasteful number, since it uses less digits than its factorization.

102718066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12141 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 102718066320 in words is "one hundred two billion, seven hundred eighteen million, sixty-six thousand, three hundred twenty".