102685459968 has 1200 divisors, whose sum is σ = 403017642720. Its totient is φ = 25904406528.

The previous prime is 102685459909. The next prime is 102685459969. The reversal of 102685459968 is 869954586201.

102685459968 is a `hidden beast` number, since 1 + 0 + 26 + 8 + 545 + 9 + 9 + 68 = 666.

It is a super-2 number, since 2×102685459968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102685459969) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4464585205 + ... + 4464585227.

Almost surely, 2^102685459968 is an apocalyptic number.

102685459968 is a gapful number since it is divisible by the number (18) 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 102685459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201508821360).

102685459968 is an abundant number, since it is smaller than the sum of its proper divisors (300332182752).

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

102685459968 is an frugal number, since it uses more digits than its factorization.

102685459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 102685459968 in words is "one hundred two billion, six hundred eighty-five million, four hundred fifty-nine thousand, nine hundred sixty-eight".