102853536 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 29306880.

The previous prime is 102853529. The next prime is 102853537. The reversal of 102853536 is 635358201.

It is a junction number, because it is equal to n+sod(n) for n = 102853497 and 102853506.

It is not an unprimeable number, because it can be changed into a prime (102853537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 961195 + ... + 961301.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^102853536 is an apocalyptic number.

102853536 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 102853536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

102853536 is an abundant number, since it is smaller than the sum of its proper divisors (210674784).

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

102853536 is a wasteful number, since it uses less digits than its factorization.

102853536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 102853536 is about 10141.6732347281. The cubic root of 102853536 is about 468.5325226188.

The spelling of 102853536 in words is "one hundred two million, eight hundred fifty-three thousand, five hundred thirty-six".