102109968 has 30 divisors (see below), whose sum is σ = 285766494. Its totient is φ = 34036608.

The previous prime is 102109961. The next prime is 102110023. The reversal of 102109968 is 869901201.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 1468944 = 10032^2 + 1212^2 .

It is a super-2 number, since 2×102109968² = 20852891129922048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102109961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354405 + ... + 354692.

Almost surely, 2^102109968 is an apocalyptic number.

102109968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102109968 is an abundant number, since it is smaller than the sum of its proper divisors (183656526).

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

102109968 is a wasteful number, since it uses less digits than its factorization.

102109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709111 (or 709102 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 102109968 is about 10104.9476990235. The cubic root of 102109968 is about 467.4007231977.

The spelling of 102109968 in words is "one hundred two million, one hundred nine thousand, nine hundred sixty-eight".