102093992352 has 384 divisors, whose sum is σ = 337217126400. Its totient is φ = 29770675200.

The previous prime is 102093992339. The next prime is 102093992381. The reversal of 102093992352 is 253299390201.

102093992352 is a `hidden beast` number, since 1 + 0 + 20 + 9 + 399 + 235 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102093992298 and 102093992307.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58040049 + ... + 58041807.

It is an arithmetic number, because the mean of its divisors is an integer number (878169600).

Almost surely, 2^102093992352 is an apocalyptic number.

102093992352 is a gapful number since it is divisible by the number (12) 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 102093992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168608563200).

102093992352 is an abundant number, since it is smaller than the sum of its proper divisors (235123134048).

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

102093992352 is a wasteful number, since it uses less digits than its factorization.

102093992352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 102093992352 in words is "one hundred two billion, ninety-three million, nine hundred ninety-two thousand, three hundred fifty-two".