102088000 has 112 divisors (see below), whose sum is σ = 289096704. Its totient is φ = 34982400.

The previous prime is 102087943. The next prime is 102088001. The reversal of 102088000 is 880201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102088001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55089 + ... + 56911.

Almost surely, 2^102088000 is an apocalyptic number.

102088000 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 102088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548352).

102088000 is an abundant number, since it is smaller than the sum of its proper divisors (187008704).

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

102088000 is an equidigital number, since it uses as much as digits as its factorization.

102088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 102088000 is about 10103.8606482869. The cubic root of 102088000 is about 467.3672018359.

The spelling of 102088000 in words is "one hundred two million, eighty-eight thousand".