102789120 has 208 divisors, whose sum is σ = 377441280. Its totient is φ = 23396352.

The previous prime is 102789119. The next prime is 102789131. The reversal of 102789120 is 21987201.

It is a super-3 number, since 3×102789120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 429961 + ... + 430199.

Almost surely, 2^102789120 is an apocalyptic number.

102789120 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 102789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188720640).

102789120 is an abundant number, since it is smaller than the sum of its proper divisors (274652160).

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

102789120 is an equidigital number, since it uses as much as digits as its factorization.

102789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 102789120 is about 10138.4969300188. The cubic root of 102789120 is about 468.4346899951.

The spelling of 102789120 in words is "one hundred two million, seven hundred eighty-nine thousand, one hundred twenty".