102685968 has 300 divisors, whose sum is σ = 379277808. Its totient is φ = 26671680.

The previous prime is 102685949. The next prime is 102685969. The reversal of 102685968 is 869586201.

It is not an unprimeable number, because it can be changed into a prime (102685969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9335083 + ... + 9335093.

Almost surely, 2^102685968 is an apocalyptic number.

102685968 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 102685968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189638904).

102685968 is an abundant number, since it is smaller than the sum of its proper divisors (276591840).

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

102685968 is an frugal number, since it uses more digits than its factorization.

102685968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 102685968 is about 10133.4085084931. The cubic root of 102685968 is about 468.2779414090.

The spelling of 102685968 in words is "one hundred two million, six hundred eighty-five thousand, nine hundred sixty-eight".