102297267072 has 2304 divisors, whose sum is σ = 457119936000. Its totient is φ = 21459271680.

The previous prime is 102297267031. The next prime is 102297267077. The reversal of 102297267072 is 270762792201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102297267077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3527491954 + ... + 3527491982.

It is an arithmetic number, because the mean of its divisors is an integer number (198402750).

Almost surely, 2^102297267072 is an apocalyptic number.

102297267072 is a gapful number since it is divisible by the number (12) 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 102297267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968000).

102297267072 is an abundant number, since it is smaller than the sum of its proper divisors (354822668928).

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

102297267072 is a wasteful number, since it uses less digits than its factorization.

102297267072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 102297267072 in words is "one hundred two billion, two hundred ninety-seven million, two hundred sixty-seven thousand, seventy-two".