102019860 has 72 divisors (see below), whose sum is σ = 310715496. Its totient is φ = 27095040.

The previous prime is 102019843. The next prime is 102019867. The reversal of 102019860 is 68910201.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 69255684 = 5724^2 + 8322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102019867) 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, 49572 + ... + 51588.

It is an arithmetic number, because the mean of its divisors is an integer number (4315493).

Almost surely, 2^102019860 is an apocalyptic number.

102019860 is a gapful number since it is divisible by the number (10) 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 102019860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155357748).

102019860 is an abundant number, since it is smaller than the sum of its proper divisors (208695636).

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

102019860 is a wasteful number, since it uses less digits than its factorization.

102019860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 102019860 is about 10100.4881070174. The cubic root of 102019860 is about 467.2631951972.

The spelling of 102019860 in words is "one hundred two million, nineteen thousand, eight hundred sixty".