102886000 has 80 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 35270400.

The previous prime is 102885983. The next prime is 102886001. The reversal of 102886000 is 688201.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102886001) 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, 10326 + ... + 17674.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^102886000 is an apocalyptic number.

102886000 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 102886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

102886000 is an abundant number, since it is smaller than the sum of its proper divisors (181470800).

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

102886000 is an equidigital number, since it uses as much as digits as its factorization.

102886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 102886000 is about 10143.2736333001. The cubic root of 102886000 is about 468.5818122540.

The spelling of 102886000 in words is "one hundred two million, eight hundred eighty-six thousand".