102279168 has 144 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 32808960.

The previous prime is 102279139. The next prime is 102279179. The reversal of 102279168 is 861972201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×102279168² = 20922056413544448, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571303 + ... + 571481.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^102279168 is an apocalyptic number.

102279168 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 102279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

102279168 is an abundant number, since it is smaller than the sum of its proper divisors (204354432).

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

102279168 is a wasteful number, since it uses less digits than its factorization.

102279168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102279168 is about 10113.3163700143. The cubic root of 102279168 is about 467.6587475031.

The spelling of 102279168 in words is "one hundred two million, two hundred seventy-nine thousand, one hundred sixty-eight".