102997728 has 72 divisors (see below), whose sum is σ = 299747448. Its totient is φ = 33530112.

The previous prime is 102997723. The next prime is 102997729. The reversal of 102997728 is 827799201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102997723) 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 11 ways as a sum of consecutive naturals, for example, 8226 + ... + 16542.

It is an arithmetic number, because the mean of its divisors is an integer number (4163159).

Almost surely, 2^102997728 is an apocalyptic number.

102997728 is a gapful number since it is divisible by the number (18) 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 102997728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149873724).

102997728 is an abundant number, since it is smaller than the sum of its proper divisors (196749720).

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

102997728 is a wasteful number, since it uses less digits than its factorization.

102997728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 102997728 is about 10148.7796310689. The cubic root of 102997728 is about 468.7513681027.

The spelling of 102997728 in words is "one hundred two million, nine hundred ninety-seven thousand, seven hundred twenty-eight".