102319056 has 180 divisors, whose sum is σ = 353110212. Its totient is φ = 27482112.

The previous prime is 102319037. The next prime is 102319079. The reversal of 102319056 is 650913201.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 63680400 = 6216^2 + 7980^2 .

It is a super-2 number, since 2×102319056² = 20938378441462272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119526 + ... + 120378.

Almost surely, 2^102319056 is an apocalyptic number.

102319056 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 102319056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176555106).

102319056 is an abundant number, since it is smaller than the sum of its proper divisors (250791156).

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

102319056 is a wasteful number, since it uses less digits than its factorization.

102319056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 102319056 is about 10115.2882311875. The cubic root of 102319056 is about 467.7195339045.

The spelling of 102319056 in words is "one hundred two million, three hundred nineteen thousand, fifty-six".