102871080 has 256 divisors, whose sum is σ = 391910400. Its totient is φ = 23777280.

The previous prime is 102871079. The next prime is 102871081. The reversal of 102871080 is 80178201.

It is an interprime number because it is at equal distance from previous prime (102871079) and next prime (102871081).

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 (102871081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238465 + ... + 238895.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^102871080 is an apocalyptic number.

102871080 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 102871080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

102871080 is an abundant number, since it is smaller than the sum of its proper divisors (289039320).

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

102871080 is a wasteful number, since it uses less digits than its factorization.

102871080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

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

The square root of 102871080 is about 10142.5381438770. The cubic root of 102871080 is about 468.5591607153.

The spelling of 102871080 in words is "one hundred two million, eight hundred seventy-one thousand, eighty".