102319955444160 has 672 divisors, whose sum is σ = 378203549855040. Its totient is φ = 25298674384896.

The previous prime is 102319955444107. The next prime is 102319955444183. The reversal of 102319955444160 is 61444559913201.

102319955444160 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 9 + 95 + 54 + 441 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102319955444097 and 102319955444106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1434443376 + ... + 1434514704.

It is an arithmetic number, because the mean of its divisors is an integer number (562802901570).

Almost surely, 2^{102319955444160} is an apocalyptic number.

102319955444160 is a gapful number since it is divisible by the number (10) 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 102319955444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189101774927520).

102319955444160 is an abundant number, since it is smaller than the sum of its proper divisors (275883594410880).

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

102319955444160 is a wasteful number, since it uses less digits than its factorization.

102319955444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71805 (or 71792 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 102319955444160 in words is "one hundred two trillion, three hundred nineteen billion, nine hundred fifty-five million, four hundred forty-four thousand, one hundred sixty".