102809088 has 200 divisors, whose sum is σ = 319855272. Its totient is φ = 32845824.

The previous prime is 102809071. The next prime is 102809101. The reversal of 102809088 is 880908201.

It is a super-3 number, since 3×102809088³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1534431 + ... + 1534497.

Almost surely, 2^102809088 is an apocalyptic number.

102809088 is a gapful number since it is divisible by the number (18) 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 102809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159927636).

102809088 is an abundant number, since it is smaller than the sum of its proper divisors (217046184).

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

102809088 is an frugal number, since it uses more digits than its factorization.

102809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 102809088 is about 10139.4816435556. The cubic root of 102809088 is about 468.4650210207.

The spelling of 102809088 in words is "one hundred two million, eight hundred nine thousand, eighty-eight".