102107088 has 80 divisors (see below), whose sum is σ = 297302400. Its totient is φ = 33546240.

The previous prime is 102107081. The next prime is 102107113. The reversal of 102107088 is 880701201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102107081) 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 15 ways as a sum of consecutive naturals, for example, 29008 + ... + 32336.

It is an arithmetic number, because the mean of its divisors is an integer number (3716280).

Almost surely, 2^102107088 is an apocalyptic number.

102107088 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 102107088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148651200).

102107088 is an abundant number, since it is smaller than the sum of its proper divisors (195195312).

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

102107088 is a wasteful number, since it uses less digits than its factorization.

102107088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 102107088 is about 10104.8051935700. The cubic root of 102107088 is about 467.3963288283.

Adding to 102107088 its reverse (880701201), we get a palindrome (982808289).

The spelling of 102107088 in words is "one hundred two million, one hundred seven thousand, eighty-eight".