102711000 has 256 divisors, whose sum is σ = 376796160. Its totient is φ = 22809600.

The previous prime is 102710963. The next prime is 102711019. The reversal of 102711000 is 117201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406964 + ... + 1407036.

It is an arithmetic number, because the mean of its divisors is an integer number (1471860).

Almost surely, 2^102711000 is an apocalyptic number.

102711000 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 102711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188398080).

102711000 is an abundant number, since it is smaller than the sum of its proper divisors (274085160).

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

102711000 is a wasteful number, since it uses less digits than its factorization.

102711000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 102711000 is about 10134.6435556461. The cubic root of 102711000 is about 468.3159893894.

Adding to 102711000 its reverse (117201), we get a palindrome (102828201).

The spelling of 102711000 in words is "one hundred two million, seven hundred eleven thousand".