102241438272 has 448 divisors, whose sum is σ = 320745185280. Its totient is φ = 31887820800.

The previous prime is 102241438249. The next prime is 102241438283. The reversal of 102241438272 is 272834142201.

102241438272 is a `hidden beast` number, since 102 + 241 + 43 + 8 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218932183 + ... + 218932649.

Almost surely, 2^102241438272 is an apocalyptic number.

102241438272 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 102241438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160372592640).

102241438272 is an abundant number, since it is smaller than the sum of its proper divisors (218503747008).

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

102241438272 is a wasteful number, since it uses less digits than its factorization.

102241438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 102241438272 in words is "one hundred two billion, two hundred forty-one million, four hundred thirty-eight thousand, two hundred seventy-two".