102089000 has 64 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 37689600.

The previous prime is 102088999. The next prime is 102089017. The reversal of 102089000 is 980201.

It can be written as a sum of positive squares in 8 ways, for example, as 11115556 + 90973444 = 3334^2 + 9538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9074 + ... + 16926.

Almost surely, 2^102089000 is an apocalyptic number.

102089000 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 102089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

102089000 is an abundant number, since it is smaller than the sum of its proper divisors (155208040).

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

102089000 is a wasteful number, since it uses less digits than its factorization.

102089000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102089000 is about 10103.9101342005. The cubic root of 102089000 is about 467.3687278582.

The spelling of 102089000 in words is "one hundred two million, eighty-nine thousand".