102199968 has 168 divisors, whose sum is σ = 325840788. Its totient is φ = 31352832.

The previous prime is 102199967. The next prime is 102199969. The reversal of 102199968 is 869991201.

It is an interprime number because it is at equal distance from previous prime (102199967) and next prime (102199969).

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 9809424 = 9612^2 + 3132^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102199961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303096 + ... + 303432.

Almost surely, 2^102199968 is an apocalyptic number.

102199968 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 102199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162920394).

102199968 is an abundant number, since it is smaller than the sum of its proper divisors (223640820).

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

102199968 is an equidigital number, since it uses as much as digits as its factorization.

102199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 102199968 is about 10109.3999821948. The cubic root of 102199968 is about 467.5380056227.

The spelling of 102199968 in words is "one hundred two million, one hundred ninety-nine thousand, nine hundred sixty-eight".