102868758062208 has 1024 divisors, whose sum is σ = 335681755200000. Its totient is φ = 30878461329408.

The previous prime is 102868758062167. The next prime is 102868758062227. The reversal of 102868758062208 is 802260857868201.

102868758062208 is a `hidden beast` number, since 1 + 0 + 28 + 6 + 8 + 7 + 580 + 6 + 2 + 20 + 8 = 666.

It is a super-2 number, since 2×102868758062208² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38113654843 + ... + 38113657541.

Almost surely, 2^{102868758062208} is an apocalyptic number.

102868758062208 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 102868758062208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167840877600000).

102868758062208 is an abundant number, since it is smaller than the sum of its proper divisors (232812997137792).

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

102868758062208 is a wasteful number, since it uses less digits than its factorization.

102868758062208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 102868758062208 in words is "one hundred two trillion, eight hundred sixty-eight billion, seven hundred fifty-eight million, sixty-two thousand, two hundred eight".