102868416 has 168 divisors, whose sum is σ = 348268544. Its totient is φ = 28408320.

The previous prime is 102868393. The next prime is 102868417. The reversal of 102868416 is 614868201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×102868416² = 21163822020698112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102868417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124581 + ... + 125403.

Almost surely, 2^102868416 is an apocalyptic number.

102868416 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 102868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174134272).

102868416 is an abundant number, since it is smaller than the sum of its proper divisors (245400128).

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

102868416 is a wasteful number, since it uses less digits than its factorization.

102868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102868416 is about 10142.4068149528. The cubic root of 102868416 is about 468.5551160010. Note that the first 3 decimals are identical.

The spelling of 102868416 in words is "one hundred two million, eight hundred sixty-eight thousand, four hundred sixteen".