102243717720 has 192 divisors, whose sum is σ = 350250395040. Its totient is φ = 26817868800.

The previous prime is 102243717707. The next prime is 102243717721. The reversal of 102243717720 is 27717342201.

102243717720 is a `hidden beast` number, since 10 + 22 + 437 + 177 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102243717721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506700 + ... + 679140.

Almost surely, 2^102243717720 is an apocalyptic number.

102243717720 is a gapful number since it is divisible by the number (10) 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 102243717720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125197520).

102243717720 is an abundant number, since it is smaller than the sum of its proper divisors (248006677320).

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

102243717720 is a wasteful number, since it uses less digits than its factorization.

102243717720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172528 (or 172512 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 102243717720 in words is "one hundred two billion, two hundred forty-three million, seven hundred seventeen thousand, seven hundred twenty".