102088845 has 24 divisors (see below), whose sum is σ = 183058200. Its totient is φ = 52569216.

The previous prime is 102088817. The next prime is 102088849. The reversal of 102088845 is 548880201.

It can be written as a sum of positive squares in 4 ways, for example, as 20331081 + 81757764 = 4509^2 + 9042^2 .

It is not a de Polignac number, because 102088845 - 2⁵ = 102088813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102088849) 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 23 ways as a sum of consecutive naturals, for example, 37810 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (7627425).

Almost surely, 2^102088845 is an apocalyptic number.

102088845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102088845 is a deficient number, since it is larger than the sum of its proper divisors (80969355).

102088845 is a wasteful number, since it uses less digits than its factorization.

102088845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78269 (or 78266 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 102088845 is about 10103.9024638998. The cubic root of 102088845 is about 467.3684913254.

The spelling of 102088845 in words is "one hundred two million, eighty-eight thousand, eight hundred forty-five".