102997128 has 128 divisors (see below), whose sum is σ = 299335680. Its totient is φ = 29272320.

The previous prime is 102997117. The next prime is 102997129. The reversal of 102997128 is 821799201.

102997128 is a nontrivial binomial coefficient, being equal to C(14353, 2).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (102997129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222225 + ... + 222687.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 2^102997128 is an apocalyptic number.

102997128 is the 14352-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102997128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149667840).

102997128 is an abundant number, since it is smaller than the sum of its proper divisors (196338552).

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

102997128 is a wasteful number, since it uses less digits than its factorization.

102997128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 102997128 is about 10148.7500708215. The cubic root of 102997128 is about 468.7504578840.

The spelling of 102997128 in words is "one hundred two million, nine hundred ninety-seven thousand, one hundred twenty-eight".