102000263328 has 72 divisors (see below), whose sum is σ = 305329752000. Its totient is φ = 32210607744.

The previous prime is 102000263327. The next prime is 102000263329. The reversal of 102000263328 is 823362000201.

102000263328 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 0 + 2 + 633 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (102000263327) and next prime (102000263329).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (102000263327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9314728 + ... + 9325671.

It is an arithmetic number, because the mean of its divisors is an integer number (4240691000).

Almost surely, 2^102000263328 is an apocalyptic number.

102000263328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102000263328 is an abundant number, since it is smaller than the sum of its proper divisors (203329488672).

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

102000263328 is a wasteful number, since it uses less digits than its factorization.

102000263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18640434 (or 18640423 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102000263328 its reverse (823362000201), we get a palindrome (925362263529).

The spelling of 102000263328 in words is "one hundred two billion, two hundred sixty-three thousand, three hundred twenty-eight".