102097248 has 96 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 30620160.

The previous prime is 102097217. The next prime is 102097249. The reversal of 102097248 is 842790201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102097249) 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 15 ways as a sum of consecutive naturals, for example, 114661 + ... + 115547.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 2^102097248 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 102097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).

102097248 is an abundant number, since it is smaller than the sum of its proper divisors (193287072).

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

102097248 is a wasteful number, since it uses less digits than its factorization.

102097248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102097248 is about 10104.3182847731. The cubic root of 102097248 is about 467.3813141096.

The spelling of 102097248 in words is "one hundred two million, ninety-seven thousand, two hundred forty-eight".