102989216 has 48 divisors (see below), whose sum is σ = 230827968. Its totient is φ = 44774400.

The previous prime is 102989197. The next prime is 102989221. The reversal of 102989216 is 612989201.

It is a super-2 number, since 2×102989216² = 21213557224589312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102989216.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1736 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (4808916).

Almost surely, 2^102989216 is an apocalyptic number.

102989216 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 102989216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115413984).

102989216 is an abundant number, since it is smaller than the sum of its proper divisors (127838752).

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

102989216 is a wasteful number, since it uses less digits than its factorization.

102989216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 102989216 is about 10148.3602616383. The cubic root of 102989216 is about 468.7384548031.

The spelling of 102989216 in words is "one hundred two million, nine hundred eighty-nine thousand, two hundred sixteen".