102889072 has 80 divisors (see below), whose sum is σ = 236422368. Its totient is φ = 42762240.

The previous prime is 102889043. The next prime is 102889079. The reversal of 102889072 is 270988201.

It is a super-2 number, since 2×102889072² = 21172322274042368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102889079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441468 + ... + 441700.

Almost surely, 2^102889072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102889072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118211184).

102889072 is an abundant number, since it is smaller than the sum of its proper divisors (133533296).

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

102889072 is a wasteful number, since it uses less digits than its factorization.

102889072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 102889072 is about 10143.4250625713. The cubic root of 102889072 is about 468.5864758914.

It can be divided in two parts, 1028 and 89072, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 102889072 in words is "one hundred two million, eight hundred eighty-nine thousand, seventy-two".