102887172 has 72 divisors (see below), whose sum is σ = 271881792. Its totient is φ = 34020000.

The previous prime is 102887153. The next prime is 102887173. The reversal of 102887172 is 271788201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102887173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146422 + ... + 147122.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 2^102887172 is an apocalyptic number.

102887172 is a gapful number since it is divisible by the number (12) 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 102887172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896).

102887172 is an abundant number, since it is smaller than the sum of its proper divisors (168994620).

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

102887172 is a wasteful number, since it uses less digits than its factorization.

102887172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 102887172 is about 10143.3314054111. The cubic root of 102887172 is about 468.5835914912.

The spelling of 102887172 in words is "one hundred two million, eight hundred eighty-seven thousand, one hundred seventy-two".