102853987392 has 112 divisors (see below), whose sum is σ = 294542057600. Its totient is φ = 31488196608.

The previous prime is 102853987349. The next prime is 102853987393. The reversal of 102853987392 is 293789358201.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102853987393) 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 15 ways as a sum of consecutive naturals, for example, 393168 + ... + 600240.

It is an arithmetic number, because the mean of its divisors is an integer number (2629839800).

Almost surely, 2^102853987392 is an apocalyptic number.

102853987392 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 102853987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147271028800).

102853987392 is an abundant number, since it is smaller than the sum of its proper divisors (191688070208).

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

102853987392 is a wasteful number, since it uses less digits than its factorization.

102853987392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207300 (or 207290 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 102853987392 in words is "one hundred two billion, eight hundred fifty-three million, nine hundred eighty-seven thousand, three hundred ninety-two".