102026000 has 80 divisors (see below), whose sum is σ = 249150720. Its totient is φ = 40406400.

The previous prime is 102025997. The next prime is 102026009. The reversal of 102026000 is 620201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102026009) 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, 277817 + ... + 278183.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 2^102026000 is an apocalyptic number.

102026000 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 102026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124575360).

102026000 is an abundant number, since it is smaller than the sum of its proper divisors (147124720).

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

102026000 is a wasteful number, since it uses less digits than its factorization.

102026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102026000 is about 10100.7920481515. The cubic root of 102026000 is about 467.2725689880.

Adding to 102026000 its reverse (620201), we get a palindrome (102646201).

The spelling of 102026000 in words is "one hundred two million, twenty-six thousand".