102871296 has 270 divisors, whose sum is σ = 345387966. Its totient is φ = 30412800.

The previous prime is 102871291. The next prime is 102871333. The reversal of 102871296 is 692178201.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 40144896 = 7920^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102871296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102871291) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2509036 + ... + 2509076.

Almost surely, 2^102871296 is an apocalyptic number.

102871296 is a gapful number since it is divisible by the number (16) 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 102871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172693983).

102871296 is an abundant number, since it is smaller than the sum of its proper divisors (242516670).

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

102871296 is an equidigital number, since it uses as much as digits as its factorization.

102871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102871296 is about 10142.5487920936. The cubic root of 102871296 is about 468.5594886621.

The spelling of 102871296 in words is "one hundred two million, eight hundred seventy-one thousand, two hundred ninety-six".